{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hands-on 01: Uso de modelos de propagação para análises sistêmicas\n",
    "\n",
    "# Parte 01: Avaliação de cobertura celular\n",
    "\n",
    "\n",
    "### Objetivos\n",
    "As metas desse tutorial são ajudar o usuário a:\n",
    "- Criar um Grid Hexagonal para modelar cobertura de Estações Rádio Base;\n",
    "- Analisar potência recebida visualmente por meio de _Radio Environment Maps_ (REMs);\n",
    "- Fazer exemplo de estudo de _Outage_ de potência."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prática 01: Criação de grid celular hexagonal\n",
    "\n",
    "Vamos escrever um código para criação de um mapa de cobertura de 7 (sete) estações rádio base (ERBs), como ilustrado na figura a seguir.\n",
    "\n",
    "\n",
    "![fig_hex](../FIGS/HD_01_MATLAB/fig_hex.png)\n",
    "\n",
    "\n",
    "A modelagem tem as seguintes características:\n",
    "\n",
    "- Grid com células hexagonais;\n",
    "- ERBs macrocelulares com altura de 30 m;\n",
    "- Estações móveis com altura média de 1,8 m;\n",
    "- O raio de cada hexágono é um parâmetro ajustável denominado dR;\n",
    "- As dimensões do grid celular com as 7 ERBs é 5dR x 6 $\\sqrt{\\frac{3}{4}}$ dR;\n",
    "- Para fins de definição da Outage (falha da conexão por falta de potência), a sensibilidade do receptor é considerada igual a -104 dBm ([fonte](http://www.comlab.hut.fi/opetus/260/1v153.pdf));\n",
    "- A EIRP (Effective Isotropic Radiated Power) é 57 dBm ([Discussão interessante sobre $P_{TX}$ e EIRP](https://under-linux.org/entry.php?b=1384)). Esse valor é compatível com receptores do GSM ([fonte](https://pt.slideshare.net/naveenjakhar12/gsm-link-budget));\n",
    "- Somente a perda de percurso é considerada como manifestação de canal. Assim, a potência recebida será calculada com o modelo de Okumura-Hata para cidades urbanas grandes;\n",
    "- A frequência da portadora é um parâmetro ajustável denominado dFc;\n",
    "- Para evitar problema numéricos (divisão por zero ou logaritmo de zero), vamos modelar um raio de segurança. Para efeito de cálculo da potência recebida, todos os pontos menores que uma distância denominada dRMin, terão potência recebida igual aquela calculada usando dRMin como distância.\n",
    "\n",
    "A ideia é calcular a potência recebida em dBm para pontos equidistantes em toda a ára de cobertura. A distância entre os pontos de medição foi definida como o próximo valor inteiro maior que $\\frac{dR}{10}$. Esse valor pode ser ajustado para melhor visualizar os REMs. \n",
    "\n",
    "A figura a seguir ilustra essa modelagem.\n",
    "![fig_fig_rem_model](../FIGS/HD_01_MATLAB/fig_rem_model.png)\n",
    "\n",
    "**Dica importante de programação com Matlab:** O Matlab é otimizado para trabalhar com matrizes (e vetores). Assim, algumas operações devem ser vetorizadas ou matricializadas, evitando laços. Vamos escrever o código evitando ao máximo laço FOR.\n",
    "\n",
    "\n",
    "**Passo 01:** Crie uma função chamada **fDrawSector.m** com o seguinte código. Ela servirá para desenhar um hexágono de centro e raio especificados como parâmetro. Tal função servira para termos certeza que o posicionamento das ERBs estão corretos."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Created file '/home/labsim/EEC1714/fDrawSector.m'.\n"
     ]
    }
   ],
   "source": [
    "%%file fDrawSector.m\n",
    "function fDrawSector(dR,dCenter)\n",
    "vtHex=zeros(1,0);\n",
    "for ie=1:6\n",
    "    vtHex=[vtHex dR*(cos((ie-1)*pi/3)+j*sin((ie-1)*pi/3))];\n",
    "end\n",
    "vtHex=vtHex+dCenter;\n",
    "vtHexp=[vtHex vtHex(1)];\n",
    "plot(vtHexp,'k');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Passo 02:** Para testar a função, vamos criar um hexágono centrado no ponto (100,50) e com raio 100. Para isso execute o seguinte comando no Matlab (você precisa colocar o arquivo **fDrawSector.m** na pasta de trabalho do Matlab).   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fDrawSector(100,100+50*i)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Passo 03:** Crie uma função chamada **fDrawDeploy.m** com o seguinte código. Ela servirá para desenhar o grid celular. Tal função servirá para termos certeza que o posicionamento das ERBs estão corretos."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Created file '/home/labsim/EEC1714/fDrawDeploy.m'.\n"
     ]
    }
   ],
   "source": [
    "%%file fDrawDeploy.m\n",
    "function fDrawDeploy(dR,vtBs)\n",
    "% Desenha setores hexagonais\n",
    "hold on;\n",
    "for iBsD = 1 : length(vtBs)\n",
    "    fDrawSector(dR,vtBs(iBsD));\n",
    "end\n",
    "% Plot BSs\n",
    "plot(vtBs,'sk'); axis equal;\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Passo 04:** Inspecione e insira o código a seguir no editor do Matlab (salve com o nome **handson1_P1_1.m**). Nesse código, vamos criar um vetor com a posição das 7 ERBs. A posição é ajustada para que a referência, i.e., o ponto (0,0) seja o canto inferior esquerdo do grid. Também já criamos o grid com a dimensão especificada no hands-on."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rdWbjs/q1zFm5jdMG5QRtOGUHABCBCclNLp36p581jnKCHgSSm1w6L+HSa7GUS2+BS6/FPZyyAwCIwITkIMd6QKsvqjtwpsveg78gq8vJeQQSUC3sesCKcMrONU52fy5dVLcL5QSdCCQAgAgEklOc7GcDdLX6UU7QjEByh8PbR4BNRCfKCfoRSAAAEQgkRzjfzwboavWgnGAEgQQAEIFAckFI+tkAXW21UU4whUCyXqi2jwCbSPVQTjCIQAIAiEAg2S2E/WyArrYaKCeYRSABAEQgkCwW2n42QFdbWZQT5WQcgQQAEIFAslXI+9kAXW2lUE6KchKAQLIS20cBm0j5KKcCysksAgkAIAKBZB/62TnoastBOc1BORlEIAEARCCQLEM/uyC62tJQTguinEwhkAAAIhBINqGfXQJd7UpRTkugnIwgkKzB9rEsNpHiUU7Lopz0I5AAACIQSHagny0SXW0xKKciUU6aEUgAABEIJAvQz64IXe3SKKcVoZx0IpCkY/soAZvIYiinElBO2hBIAAARCCTR6GdLRlc7H+VUMspJj9WmF1CKfD5/586dhw8f5nK5zs5O08sBAFSAlYF04sSJwcHB5ubmsbExhwOJfrZMQVfLMQxwKMpEOWlg5Sm7v/3tb6Ojo4cOHTK9EABAxVgZSJ7nmV5C1dGLVQSn/gOUU0VQTtVm5Sm74sViseBGIpEwu5IVYfuoIM60hPzlVxblVFWOB5JdOQQAYWblKTu30X9VXJjPtFBOFRfmcqo2AgkAIIKVgZTP533fz2azSinf933fN72iiqGfrZJwdrWUU5WEs5w0sPIa0uDg4JEjR4LbW7ZsUUrF4/EwfPQOABzmcgMVi8Xs+lAD/Wy1heoIh+rFGsERrjgrT9k5ieLWIDxnWignDcJTTtoQSAAAEQgkEehntQlDV0s5aROGctKJQAIAiEAgmUc/q5nbXS3lpJnb5aQZgWQY24cRrm4ilJMRrpaTfgQSAEAEAskk+lmD3OtqKSeD3CsnI6z8pgaYteB/PLZClIZyQgGBZIzV/eyclVvaG7r0u22sfiGUEwKcsgMAiMCEZAadlBDOnPqnnCRgSCoTgWQGhSuEM++CMy/EarwLZeKUHQBABCYkY6wektw4zWXv8Z+PcjLO3uMvB4GEFeN/HSqIckIBp+xMcuaKuo3c62cpJ4PcKycjCCQAgAgEkmF0tUa42s9STka4Wk76EUjmsYlo5vb2QTlp5nY5aUYgAQBEIJBEoKvVJgz9LOWkTRjKSScCCQAgAoEkBV2tBuHpZyknDcJTTtoQSIKwiVRV2LYPyqmqwlZOehBIAAARCCRZ6GqrJJz9LOVUJeEsJw0IJACACASSOHS1FRfmfpZyqrgwl1O1EUgAABEIJInoaiuIfpZyqiDKqaoIJKHYRCqC7SNAOVUE5VRtBBIAQAQCSS662jLRz85GOZWJctKAQAIAiEAgiUZXWzL62fkop5JRTnoQSAAAEQgk6ehqS0A/uxjKqQSUkzYEkgXYRFaE7WNplNOKUE46EUgAABEIJDvQ1RaJfrYYlFORKCfNCCQAgAgEkjXoapdFP1s8ymlZlJN+BJJN2ESWwPaxUpTTEignIwgkAIAIBJJl6GoXRD9bGsppQZSTKQQSAEAEAsk+dLVz0M+Wg3Kag3IyiEACAIhAIFmJrraAfrZ8lFMB5WQWgWQrNhHF9lE5lJOinAQgkAAAIhBIFgt5V0s/W1mUE+VkHIEEABCBQLJbaLta+tlqoJxg1mrTC1jA+Pj45cuX0+l0e3t7e3v7/Cfcvn17cnKycLetrW39+vXalgcAqAZxgZRIJPbs2XPw4ME1a9b09vZOTU3t379/znOuX7/+/ffft7S0BHc3btwY5kAKutpQ9Xdhe706UU4wSFwgffTRR3v37u3q6lJKvfbaa93d3fv27aupqZnztG3btp06dcrEAiUK1SYSnldqCuUEU8RdQ7p169b27duD2zt37sxkMiMjI/OflslkhoeH79+/r3d1AIBqkTUhpdPpbDbb1NQU3F21alU0Gp2ZmZn/zKGhoWQyGY/HGxsb+/r6NmzYsOA/GIvFghuJRKJKaxYiJF1tGF6jBJQTjJA1IQXF0dDQUHjE87xcLjfnad3d3Xfv3v38889HR0c3b9787rvvLvYPJn5SpQUDACpFViB5nqeUGhsbKzzy7NmzSCQy52n19fWF53d1dT148CCdTmtbpFjOf2aXflYnygn6iQuktWvXTk1NBXenp6fT6fSmTZuW+CvPnz9XSq1eLevcoykObyJsH/pRTtBMViAppTo6Oi5evJjJZJRSFy5caGlpCa4PXb16tb+/P3hO4WMOjx8/PnPmzNatW4PRCgBgL3GDxTvvvJNIJF5//fXa2tq6urq+vr7g8dHR0adPnwY/k3Ts2LFUKhWJRJ48edLa2nr27FmjS5bFycvR7r0iW1BO0MnlNyYWi4Xz4wzu/X+z9BUteL7Luhdi6cFfgnuvyBniJiSUz7Gu1urXMmflNl6SoZygjbhrSACAcGJCcpNLn4+inzWOcoIeBJKznPmPxzkW43gLoAen7AAAIjAhQTqrL6o7cKbL3oMP6xBIQLWwjwMrwik7WMCli+p2YTyCTgQSAEAEAgl2YEjSj/EImhFIsAaZpBNpBP0IJACACAQSbMKQpAfjEYwgkAAAIhBIsAxDUrUxHsEUAgn2IZOqhzSCQQQSAEAEAglWYkiqBsYjmEUgAQBEIJBgK4akymI8gnEEEgBABAIJFmNIqhTGI0hAIMFuZFL5SCMIQSABAEQgkGA9hqRyMB5BDgIJACACgQQXMCSVhvEIohBIAAARCCQ4giFppRiPIA2BBHeQScUjjSAQgQQAEIFAglMYkorBeASZCCQAgAgEElzDkLQ0xiOIRSDBQWTSYkgjSEYgAQBEIJDgJoak+RiPIByBBAAQgUCCsxiSZmM8gnwEEgBABAIJLmNICjAewQoEEhxHJpFGsAWBBAAQgUCC+8I8JDEewSIEEgBABAIJoRDOIYnxCHYhkAAAIhBICIuwDUmMR7AOgYQQCU8mkUawEYEEABCBQEK4hGFIYjyCpQgkAIAIBBJCx+0hifEI9iKQEEauZhJpBKsRSAAAEVabXkCJxsfHL1++nE6n29vb29vbTS8H9gmGJJfmCcdeDkLIygkpkUh0dnY2Njb+9re/7e3t7e/vN72iFYvFYqaXUAG8CiEceAmKVwFLJ6SPPvpo7969XV1dSqnXXnutu7t73759NTU1ptcFywRD0ubNm00vpAIYj+AAKyekW7dubd++Pbi9c+fOTCYzMjJidkkAgDLZNyGl0+lsNtvU1BTcXbVqVTQanZmZWfDJksdnyWsrnu2vYvPmzf/9738d+MTd5s2bbX8vlP3lFJD8KhKJhOklLMW+QArOSzQ0NBQe8Twvl8vNf6bwQw8AmM2+U3ae5ymlxsbGCo88e/YsEomYWxEAoAKsDKS1a9dOTU0Fd6enp9Pp9KZNm8yuCgBQJvsCSSnV0dFx8eLFTCajlLpw4UJLS8uGDRtMLwoAUBb7riEppd55551EIvH666/X1tbW1dX19fWZXhEAoFz87AIAQAQrT9kBANxDIAEARLDyGpLVbPxa2GXXfPv27cnJycLdtra29evXa1teafL5/J07dx4+fJjL5To7O00vpyjFrNnG92J8fHxoaGhiYiIaje7atau1tdX0ipZXzJptfC/Mqjl58qTpNYRIIpH485///Ic//KG5ufkf//hHTU3Nb37zG9OLWkYxaz537tx//vOffD6fTCaTyWRzc/MvfvELI6st3l//+td//vOfyWTyyy+/DL4XUb5i1mzje/GnP/3pZz/72bZt2x4/ftzb27t27dpf/vKXphe1jGLWbON7YdgLaHTgwIG///3vwe1vv/3217/+dTabNbukZRWz5g8//PDDDz/UvrSyPH/+/MWLF99+++2vfvUr02spVjFrtvG9SKVShdv/+te//vjHPxpcTJGKWbON74VZXEPSysavhS1yzZlMZnh4+P79+3pXV7rgKz/sUuSarXsv6urqCrcbGhqy2azBxRSpyDVb916YxTUkfVb0tbBCFL/moaGhZDIZj8cbGxv7+vr4UWWD7H0vfN8fGBjYvXu36YWswNJrtve9MIIJSZ8XRX8trBxFrrm7u/vu3buff/756Ojo5s2b3333Xa2rxCxWvxd/+ctffv7zn9tySS+wxJqtfi+MIJD0sfFrYYtcc319feH5XV1dDx48SKfT2haJ2ex9L44ePfro0aPz589b9Ms2l16zve+FKZyy08fGr4UtYc3Pnz9XSq1eTWmZZ9F7cfz48QcPHgwMDESjUdNrKdaK1mzRe2EQE5JWNn4t7GJrvnr1an9/f/CcwsccHj9+fObMma1bt8r/yEA+n/d9P7gW7fu+7/umV7S8xdZs+3vR09Nz7969Tz/9NBKJ2PJeLLZm298Ls/guO6183z98+PDw8HDha2HXrVtnelHLWGzNx48ff/r06dmzZ5VSv/vd71KpVCQSefLkSWtr6+nTpxsbG00vfBk3btw4cuTI7Efi8bjw/WKxNdv+Xsz5Faue58XjcVOLKdJia7b9vTCLQDJgZmYmlUrJj6LZll2z7/vxeHzLli3C9/Qw4L2Qg/diRQgkAIAIXEMCAIhAIAEARCCQAAAiEEgAABEIJACACAQSAEAEAgkAXNbf3x+LxeT/phtFIAGAw3744Ydvvvlm9hf2S0YgAYCzPvjgg5MnT5peRbEIJABw05UrV3bs2CH/G5wL+C50ALBAPp+/c+fOw4cPc7lcZ2fn7D8aHx+/fPlyOp1ub29vb28PHkwmk9euXfviiy9MLLZEBBIAWODEiRODg4PNzc1jY2OzAymRSOzZs+fgwYNr1qzp7e2dmprav3+/Uuq7777LZDIHDx5USqVSqY8//vjll19ua2sz9gKKwJerAoAFfN/3PO/mzZuHDh2a/es53n777Y0bN77//vtKqZs3b3Z3d4+OjtbU1ORyueDXmCml3nzzzd7e3jfeeEP4b+PlGhIAmJfP58fHx2c/kkwmf/zxx8LdxX6Bxa1bt7Zv3x7c3rlzZyaTCT7hXVNTE/2JUuqVV14RnkaKQAIACVatWvXVV1/dvXs3uJtMJi9dulRbW7v030qn09lstqmpqfCPRKPRmZmZOU8bHh7esWNHxddccVxDAgARuru7P/nkE6VUfX39pUuXgrNwSwuuucz+MSPP83K5XPUWWVVMSAAgRXd39+Dg4Pnz54tJI/XTebyxsbHCI8+ePYtEItVaX5URSAAgxcTERC6Xa2pqKpy7W5rneWvXrp2amgruTk9Pp9PpTZs2VXONVUQgAYAIExMTV65c6enpOXDgwMjIyJxMyufzvu9ns1mllO/7vu8Hj3d0dFy8eDH4QN2FCxdaWlos+knYOfjYNwCYl8/nT58+ffTo0cIj586d27dvX11dXXD3xo0bR44cmf1X4vG453m+7x8+fHh4eLi2traurq6vr2/dunVal145BBIAWG9mZiaVStkbRQECCQAgAteQAAAiEEgAABEIJACACAQSAECE/wcKAIPLAaKjiwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dR = 5e3; % Raio do Hexágono\n",
    "dIntersiteDistance = 2*sqrt(3/4)*dR;                       % Distância entre ERBs (somente para informação)\n",
    "dDimX = 5*dR;                                              % Dimensão X do grid\n",
    "dDimY = 6*sqrt(3/4)*dR;                                    % Dimensão Y do grid\n",
    "% Vetor com posições das BSs (grid Hexagonal com 7 células, uma célula central e uma camada de células ao redor)\n",
    "vtBs = [ 0 ];\n",
    "dOffset = pi/6;\n",
    "for iBs = 2 : 7\n",
    "    vtBs = [ vtBs dR*sqrt(3)*exp( j * ( (iBs-2)*pi/3 + dOffset ) ) ];\n",
    "end\n",
    "vtBs = vtBs + (dDimX/2 + j*dDimY/2);                        % Ajuste de posição das bases (posição relativa ao canto inferior esquerdo)\n",
    "\n",
    "% Desenha setores hexagonais\n",
    "fDrawDeploy(dR,vtBs)\n",
    "axis equal;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prática 02: Criação dos pontos de medição\n",
    "\n",
    "Vamos escrever um código para criação dos pontos de medição do REM de cada ERB. A ideia é criar 7 matrizes, cada uma com a posição relativa dos pontos de medição de todo o grid para cada ERB. Assim, teremos uma matriz de pontos de medição para cada ERB, nas quais o ponto (0,0) é centralizado em cada ERB respectiva. Essas matrizes serão armazenadas em uma matriz 3D denomida **mtPosEachBS**. Cada elemento da matriz (pocisionamento de cada ponto de medição) é modelado como um número complexo X + jY, sendo X a posição na abscissa e, Y a posição no eixo das ordenadas.\n",
    "\n",
    "**Passo 01:** Inspecione e insira o código a seguir no editor do Matlab (salve com o nome **handson1_P21.m**). Nesse código, vamos criar:\n",
    "\n",
    "- Um vetor com a posição das 7 ERBs. A posição é ajustada para que a referência, i.e., o ponto (0,0) seja o canto inferior esquerdo do grid. Também já criamos o grid com a dimensão especificada no hands-on.\n",
    "- Criação da matriz 3D **mtPosEachBS** com as matrizes de pontos de medição de cada ERB, nas quais o ponto (0,0) é centralizado em cada ERB respectiva. \n",
    "- Plot das posições relativas dos pontos de medição de cada ERB."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BhxQfM8XNRWqCMN4SWZ7nPJwwkiBxkpvvAOfcJgQSTcJANeiQ6LAmqDmwihLGXEKUfODpnXhKZCrFPyM5aVGCjxMCCXcnoAa4hxQBmdBqcquF2i6aMMYSK9MjBk68JdSJXb7y2HpXml2G5fLF6rGdsJBwd4KOyhd0SKRoaSq3zcIoYTwlsoyLkxphWmGHml0NE0Lfy7nZCSTcnQAv0CGRon7CxdA42jK2ahy2Or/IHv1fLXEvDBvmf2werk3CHMtHgsqJ5QV3hAkQViKn/OsAL9Ah0SETVEtTrVDN6dphYvXXGeRHxeqkutDx2LYlsizLspV/B2m6Jsd6SWiRYSUoKyvE0AsyiBMgrIS6/ChIEgC4g4ca4qMO5QrUoRZZWBoSfJyUkWRl+TghkGgSBqpBh0SHNUHNIVXzMPXLjI5na8lJkGOLX43j4KSGhPaUXUQnDSSGvhvbiWavOLZ4RoPACagBluwiUzaGsi47tBqWhgQfJ1kmVjrT4cLOVTbg2fhXNqwTdFS+oEMixRxerY6jg4UVS+TDQ0LXs4V1ElSimCTlo8LSqCwjJ0JY0imKk6ASubB91boNJ8ALLNkBAABgAWZIpJSt2Dgu7DiEZe7LRC07CS6Razcz4jlhJNGqk7J0onfSgoT9vbGtGgYjwQyJjrIEDbVsXXH5GHm2sE5akjDfq5ZwZaM7kY9HR3fSmsRQOrXhBPiCDik+Zoqbi9QEYWlI8HFCIAEnnCtrDQPVoEOiw5qg5sCqXlix/lD7bAGdtCpR8dPaxE6iS7TqRKZTdCetSmjpFNYJqAHuIUVAJrSa3GqhtssxTN1b42wBnbQtkWVcnMSVaNVJlnFx0qqEjGzDCToqX9AhkaKlqdw2C73CivFs87M1d0IikRcvE2LgJL5EG06E8t6pLraJ57G5+vEJ7gR4gQ6JFJnNBXLbLPQJy4QY+nWG2mdr7IRMIi9WlRg4iSwR3IlQvnjU0TbxP1bvkwIaBl6gQ6JDJqiWplqhmtMuYVpkvbMFcUIpIS8B0Z3EkmjJiTbMj+iEUiLLWnECfMFDDfFRu5YCdag1KszyXYp6Z2vshFSi4gV36VWW0ImeTp1rk3rHFulE8NcB1aBDosOaoOaQKkpYFyWs50+1snDStoQo6VRqnw3UAB1SZMqus1qKl4SNnh65n62ZkwgSQuTC4f3ZaVSWxEkmbN+E7Vab1D5WTpICOkFH5QvuIZFiDq/kEnaNMOuBtc/W8NgoEurSf1wnsSQCOik7YefapPaxwQ0DXzBD6i769GgNUoxqY7tIA6QT0ik+mCGRYs7ii1GVWVgdpn3xqOHZghwbT2LoLZmpV7YVJzKdojthIKGnU0DDYCSYIdFRlqD0NxXMsDQk+DghkICTKBJeToAv6JDi47KUr4bJEVx1mOPZghwbV2LkG8lSqmxwJ+aEIJYTJhIj3wLexDCoBh0SHWW3kTmEpSHBxwmBBJwwryyoAe4hRUAmtJrcaqG2azgsE+LR3aPyMMezhTmWgURunTgmWtmATh6lU2wnrCRy9b5abSfoqHxBh0SKlqZy2ywsCxNi6JCGZwt4bHSJLOPihFKioRMh9L0JtEkQCZlODZ0AL9AhkaJeCIQytjILS4ZgK+PZ6jDHs4U9loFELm+IxHZCJ9HEiZlOabRJIImVdGp4NuAFOiQ6ZIJqaaoVqjmtnUD9pkhZmOPZmjhhK5FleXGRje6EQKKxE8sXj7reJqElhtaBazgBvuChhvjIFJeoQ60KrGGOZ7Oev/axzCX4OAkr0cSJtTCBNiGQaBIGqkGHRIc1Qc0hVUkeZ2L4PWNNzmYdx9U+lo9EMZYVw1+2T7iytZ2Y6RTLCXsJSzo5OgE1QIcUmbIxlGOKa2GOZ3MfRHdOwlE0mcrCCb2EuxN0VL7gHhIp5vCqSFmzcLjk0U9KhzhbaVgaElmWqy+uTr2yNZxkxdCfgZNOSOTae9C9nAAvMEPij2V1BYxCX2kBqyCdaoB0IgIzJFLMWXwxqjILZUlmfGWkydmqw9KQkMNVddyadmXdnZjtE8tJtyTMj2SNs4GRYIZER1mCVqxHq+8Za3URPA0JNUx7wR2xEwKJGk5kOkV30jkJmU5eToAv4WdIy8vLb7755rvvvru0tHT48GF1140bNy5evDgYDKanp6enp112+ZZ3EbOj0kZkNGFpSPBxQiABJ5wraw0D1YSfIX3pS1965plnXn755eeff14t7/f7hw8fnpiY2Lt37+nTpy9cuDByl285c3LPx08rpkc1zlYdloaEFrb62zYRnBBI+DrR0imik45KyHRydALqkIfm4cOHeZ5fvnz5ySefVMuPHDly5syZYvvy5cu7du1aXFys3uVbrjE5ORm8dg0x21sIe2Ge5+pfpyLM8WwuYWlIDP9TrJ3KVjvRPuwJt0l7EkUb1j4bBxheFVXCz5B6vZ61/OrVq/v37y+2Dxw4MD8/f+3atepdvuX8KYZX6n95bi+Ur2EeFeZ4NqewNCTUfwqRC5GtkcpWhAkxlE4RnXRaQohHkyS3Zgd+ED1lNxgMFhcXt27dWvxz3bp14+Pj9+/fr9jlW27VnZqaKjb6/X57tQuO9r0H0IQ8179HstbQfkkBNKN76SQvg/wh6pDyPBdCbN68WZb0er2lpaWKXb7lVl1u/ZA5bspYPhzcaQk+TggkHMOskam2CYFEvbBYqJdB5p0T0WPfxTre9evXZcnc3NzY2FjFLt/y1uvQmLIENfLYPv6yfgZChaUhUR429KPUBE4IJJzDstVRX2QnaUjIhTsXJ8AXug5py5Ytt2/fLv55586dwWCwY8eOil2+5TQVaQPzk5DbnuRpOywNCT5OCCTgJFZla4uCasJ3SMvLywsLC4uLi0KIhYWFhYWFovzQoUPnz5+fn58XQpw7d2737t3bt2+v3uVbzhxrgprjWetyv/kZcDmbe1gaEhVh2iQp7cpKinTi4CQZidWwEekE6hH+HtJrr7327LPPFts7d+4UQszOzvZ6vaNHj/b7/X379m3YsGHjxo0zMzPykLJdvuVdQWay+hnQPgzqLmvY6nU2WFgaEhVhMnItVNasdXQnyUjIXdXplLG5h9QhLL8amQxTU1PcHmoQw3eS5Ha2+qh3MT3SslkLUwvDhqUh4djCqGyqCUBW2ZEtzBCeV0UJXq5KiszmArldJLcQ+XC6W8OGCsOGpSFRGZari6JJV3YonWI3e2oS7ukEvECHRIdMUC1N5T/lOEsrV/+pDsEChqUh4RKmxaRaWa08erMnI6GFlaUTqAfe9h2fLBPqe8bE8FBLDdMIG5aGxMiwvPy1zclUVkuniE5MEpAYngn5pROoBh0SHdYENYdUUcLSkODjhEACTphXFtQAHVJkitGV+WiJVlA21AoYloaES5j1e7LBncSr7OjpEZUTnTQktLCydMpwD8kf3EMixTa8snzxyAzTFqxbCktDwi0sz7Isy3ItsuuVLUsneidrLMfs6QR8wQwJAAAACzBDIkWbxavP5laEidUxWtthaUg4O8m11a2uV7YinYidVISlIVEvncBI0CHRUZag9Ev5ZpjXsSuXPuPogBI0lVXjI7Ynn79sJCeWdKp3G6yJveZh5Z8X4AqW7KIhn821fRothW2HuR8rhFB/5LHoisJK0FTWfMFdlPYMElaRTsROKsLKCocTqtGHosmxDcNc0glUgw6JDmuCmkO8KGENJVzO1lCCT2WZSCTjxIUuVhbUAEt2ESiWKbSJhdwoklvN++GBcFthaUj4OhHGb9vUHoa7TwjakShNJ4bNXn2sWd+u5NhqOuVFIToqX9AhkaKk6cpzokXKqrmbsX/xZZbphe5n41ZZeSM6YnsGCatOJ27NXp08QthPyLDZtTAtnYAv6JBIkdlcILfNwihhaUj4OtGugGlXtitOrIWdqKy1QwWOoEOiQyboapo+mt0rhUOJrtJqmNexQgh1masNCZrKqu98i9iegcLs6RTDiT2s4lgznbrT7I/+ab5CEPiChxrio3wYV1DHX2Rh7scKoT0TlVt/5baJBJ/KcpZIxUluZlQClS357IAq0CHRYSZonudC6DlrzWNz4BU2LA0JTyej37Dercpa0ymKE2tYGhLlYZgeBQAdElO03C4bagUMS0OCj5MolbWCZg8r4e4EPZQvuIdEinVUS/CWT8ewNCRcwgTJO23broV7OsVwYg9LQ8IxnYAvmCHFp2ylBbRGyqsrSCdyUk4nYjBDIsWcxctRlVpeFmYWhg1LQ2JkWJYlXllh1DeWk1Ql6qUTGAlmSHSUJWieC/UtWBHvPXRdwiVMPpubcGXNn4yL3uzJSGhhZekE6oEOKT7mJ8G2SN16WBoSfJwQSMAJ58paw0A16JDosCaoHFjJUW11mOPZfMPSkBgZVjGeTayy6iQperOnJKGGYXoUHHRIkVE/AxUXEYI1ljQkKsKs72Voz0ncygolnaI7SUxCrHRLI9Ipwz0kf/BQAynmKKxIWbUwy5zCHM/mFZaGREWY3LUWKlsgL4vRnaQk4ZhOwBfMkLiRCzyz2wqZMH7Tdg2AdGqJtZlOrYMZEinmLL4YVQ3f53AKczybV1gaEmWrLlojEzghkHBMJw5OEpZwPBsYCWZIdJQlqFFoH9W2uuKfhkRZmLB9dTHVymphxfdkOThJQyLLhEs6gXqgQ4qP9ZNgFpol5pJ3k7A0JKxhVlKt7Bp3EkuiSSoCCTokOqwJag6s8lyYkyRrmOPZXMLSkCi5BFiW+1OtbIkTSzpFcpKAhFM6gXrgHlIE1Lsaclu71bH6zG4+KszxbKPD0pAQ+pXl0eUj+cpWOnmUTrGddFpi5SWqjk7QUfmCDokULU0z5ZFcrbDIbG2vNczxbC5haUjwcbKmKsvHSXsSWebtBHiBDomUsrGVWZjnIsse/Sh1ZZjj2UaHpSGhlDz6UYA1UNmRTvQ5d6pt0prEow+j+9mAF+iQ6JAJqqWpVliW0xVhjmerCEtDQgvT/pl2ZV2ciJKWoXfSRQmzHxrpBPiChxriI1NcYoxqR4Q5nq06LA0JGebyZpdWnRBI+DrR3k0V0UnnJNR0anI2UA06JDqsCWoOqaKEpSHBxwmBBJwwryyoATqkyJSNoZQ1luJHqUeEOZ6tIiwNCbFyyfCeHgV3QlZZLyd4gW+NMDWdvJygo/IF95BIMYdX+fCafklYrt6fb3y20rAmx/KRKG7da2v96Va2hpO8uMIycNIBCS2dfJ0ALzBDAgAAwALMkEgxZ/Grd5tHhuXmukGDs9nDmhzLRsLSSpGcUEjUdWJPpxhOmEtkQugvrqt9NjASzJDoKEtQx9Vt82xW6q2VNzmWjwQfJwQScBJFwssJ8AUdUnzMFDcXqYti7dkGa5jj2ayfq9rHspGw3BqJ5IRCopkTPZ3iOWEqYd49am4YVIMOiQ5rgpoDq4qwkd8j8TpbqGOZSFhv1EdxQiMRwslQn5RAmwSUKNKpiRNQA9xDioBMaDW51UJtl/FRGR3meLZQxzKRMHclXNlQTmQ6RXfCTULdW88JOipf0CGRoqWp3DYLy8MePbMb4mzBjo0rUaNNulvZoE6G0imNNmkuEapNgC/okEiR2Vwgt83C6rDhD0/TswU5NrqEb5t0urJhnajbCbRJEIlQbQK8QIdEh0xQLU21QjWnS8KKdzfko8Icz9b02OgSYvUnpaM7oZQI52ToLeBRnbCQEMO/UN7ECfAFDzXER/kkrKAOtcjC0pDg44RAAk44V9YaBqpBh0SHNUHNIZVLWPGj1KHO1vDYuBIjX8OcUmVbcrJ6Jym+EwYSlulRPSegBuiQIlM2htJS3PYZyIXQLyK1z9bw2HgS+usG4jmJIBHQifVrSVGcRJWwv72ithN0VL7gHhIp5vBqdZhfJ8x6YO2zNTw2ikSWcXESSyKgk7ITdq5Nah8b3DDwBTOkDlNMkmK7iIb5NjbQhIpJ0toA6RQfzJBIMWfxxRXALHQM0wrDno3AcEMJa2GqlYWTViXK0imgYTASzJDoKEvQJgvo5qi23tmaOyGWKHsNM72TWBLtOBlKp861Se1j5YPvYZ0AX+hmSG+88cY777wj//n0009v27at2L5x48bFixcHg8H09PT09LR6VNmuikM6h9lR5bZv1ZWFhTpbcyccJPg4IZBow4lG59qEQKJJGKiGbob0eo/IAAAAIABJREFUyiuvvPTSS/+6ynvvvVeU9/v9w4cPT0xM7N279/Tp0xcuXJCHlO2qOIQz1v7DzFffsIofpXY/WxAnZBLNX3zZocoSO1mDL/CV6RTWCahDTsWpU6dOnTpllh85cuTMmTPF9uXLl3ft2rW4uFi9q+IQlcnJyeC1aEjR3kKs/Ce3zUL/MNH8bIGctC0h2DiJL9GaE8HGSdsSotW/DjcYXhVVSO8hzc/PX7ly5a233lILr169un///mL7wIED8/Pz165dq95VcQhz8tVZfPGf3DYLfcOECHC2IE7altCaMe3KxnKiNnLn2sTr2KKmLTkBvpA+ZXfp0qVbt27Nzs5OTEzMzMxs3759MBgsLi5u3bq1CFi3bt34+Pj9+/eFEGW7Kg4xmZqaKjb6/X67dXNDZnOB+pHQCv3D8mLtocnZAjlpVSITIlcPSbqyEZ3oL5XvUJu4HyvESjq199fhgLwM8oeuQzpx4sQLL7wghFhYWDh58uTx48dfffXVPM+FEJs3b5ZhvV5vaWlJCFG2q+IQEyb9UIFMUC1NtUI1p73C5KeixtnCOmlPQotMu7JxnWQZFyftSah9RhtOmKBeBpl3TnRLdps2bSo2er3esWPHbt68ORgMer2eEOL69esybG5ubmxsrAiz7qo4pKOoV9sCdajlHpbn+crzq7XOFtBJaxKj3+ySUGUjOynSiYOT1iT0dCL464Bq4nwP6eHDh0KI9evX93q9LVu23L59uyi/c+fOYDDYsWOHEKJsV8UhzLEmqDmkahaWi+F3NzierQUnwSUyIfTLRyQnLCRInFje3cC5TdyPLRbrWnUCakDXIcnnDu7evXv27NmnnnqqmOscOnTo/Pnz8/PzQohz587t3r17+/btRWTZropDOkfZGEpLcYKwNCT4OFlTleXjxPHYMsI6QUflC909pOeee+7evXtjY2MPHjzYs2fPiy++WJQfPXq03+/v27dvw4YNGzdunJmZkYeU7ao4hDnm8Equ14cLy7XJhPvZQjsJeOzKDXYGTnhJtO/Ekk6RnASU0H/RsT0nwIuU3yc4NTXF6qGGApKPKDqk9px4hVkH2JaFR67NLmuBDqmmE27wvCpK8HJVUsxZfJHEZmGzsFy9Yet+thacBDhWff44rpNaEvlwof0nrBg2uxKmp1M8JwEkZDoROOHZJ3EGL1eloyxBrclNHJaGBB8nVlKtLB8nBBJNEgCMBDOk+JgdVW77Vp1XWD7qtc3Wz5VjYdiwkceqX89s0iamRPBmdyGgBGFlR78FvCs5VrFyELbZrWGgGnRIdFgTNLetR5ufKN+wGmss1sLgSxY1jlXXWFRqN12TY/lIUDrRvrJDnABhJcpepRq82UENsGQXmSjrCe7jys5J8HGypirLxwmrymJ65AtmSKRYB1zCSOjGYZkQj6YU7mdrwUmQY3PrJCmGE+8w80G77jS7DNPTKZ6TIBKPntEgcAK8QIcEQFtYO1Gs7QBQBjokUtpeQM8yIYzvlrmfLbSTgMfmZS+yI3fCS6J9J0k2+8q3fYn/OmAkuIdER1mChl3dNkVdztaGE3oJPk4IJOAkioSXE+ALOqT4mCluXdhxC8uE0D8ZjmcL7SS4hOVFn5GccJFo34n9+UbObeJ8rP29sW3/dUA16JDosCaoObCqHWaurrifLayT1iSGLiJRncSXaNtJxdP2xE5ak9DTKawTUAPcQ4qATGg1udVCbZdjmLq3xtkCOmlVQq7XR3cSXaJtJ+Yu/m3CqtnRUfmCDokULU3ltlnoG6bepK19tiBOWpbItVfbJV3ZaE603y/vVpv4HJsL5UWrbTgBXqBDIkVmc4HcNgujhHVFQt1OvrKxnKhX3m61ie+x6nZww8ALdEh0yATV0lQrVHPaMUy9e1TvbKGckEg8+oWe2E5iSrTnRBi/ztCVNql1rP6164BOgC94qCE+MsUl6lBrZJj5nrF6Z2vuhExCPnEX3UlciTacaOnUuTapcaxMJ4K/DqgGHRId1gQ1h1RRwtKQ4OOEQAJOmFcW1AAdUmTKxlBaipcPtUZMj9zP1tAJsYT1a0lRnESUaMGJ/ZsDMZyQSqiTpIBO0FH5gntIpJjDqyJlzUL3MLWw4dkaOiGWKDs2ycrSONHSKaIT5hLuToAXmCF1GHlvf21SMUkCNbB+sXotgXSKD2ZIpJiz+OIjYBZGCUtDgo8TAomwTqyFnWsTAol6YWAkmCHRUZagdZet7dOjemdr5iSixOif1qZyQi0R1knZ26/pnUSVsL/grrYT4As6pPi43BrRwuTlozrM8WzNj40oofVJaVe2JSdlP1hH7yS6hNknhTUMqkGHRIc1Qc2BVZSwNCT4OCGQgBPmlQU1wD2kCMiEHh6lPirUdhlhjxbrKsMczxbg2LgSYvj31tKubAtOVtKJgRMmErm5AlHPCToqX9AhkaKlqdw2CyvCzP83OVuoY+NK1GiT7lY2rBPtPAm0SXOJUG0CfEGHRIrM5gK5bRaWh2VC5NrHpsHZgh0bWyLXXlCddGUDOhlKpzTaJITE0AvumpwNeIEOiQ6ZoFqaaoVqTpthcqM6zPFsQY5lIpFlXJzQSARxokV2vU0CSmj/rOcE+IKHGuKjXh0K1KGWGrYGX3zpHpbnuRAZBydkEo2d6N+ETaBNQkk0f4GvNQxUgw6JDmuCmkOq8rDRvZHP2YIdy0fC+u6GdCvb0Ekmhr/HlkCbhJUohji1nYAaoEOKTNkYSktxgrA0JPg4WVOV5eMkrEQZjk7QUfmCe0ik2EZhQhgJbRuFDf2GWMOzlYU1OZaNRK6N/ZOubG0n9nSK4YS5RJ5lWZbpU0l3J8ALzJAAAACwADMkUsxZfDGqMgvVEvXZ3OZnqwhrciwfCfmj1NGdEEjUcKI+Hx/XSUckcmH86li9s4GRYIZER1mCVq9Hy2trqyv+TY7lIyHDzBfcETshkKjnRP16TVwnHZJQ08nLCfAFHVJ8zBQ3F6kJwtKQ4OOEQAJOOFfWGgaqQYdEhzVBzYGVGlY2Pap3toqwNCTUsLIfpaZxQiBRw4maTnGddE5CTSdHJ6AGuIcUAeWiqfY9jwrVXVnmFOZ4toqwNCSEcclYO5Ud6USWR3fSUYks83OCjsoXdEikaGkqt83CLBPyVmp1mOPZXMLSkFBKcvWXflKv7EgnQw96RHXSUYmVR8C9nAAv0CGRonQ2QihjK7Ow+L+2tyzM8Wwjw9KQUEuEWEOVrXYimyK6kwQk3MOAF+iQ6JAJqqWpVpitLA7o7xmzhjmebWRYGhK2sLzsPlyKlS11IowHl2M56bjEo69duzU78AMPNcRHHc7LMiGMK4oRpo7ImoelIWELs7zgjsAJgYSzE0s6RXKSgEQuhCWhHM8GqkGHRIc1Qc0hlXWQZQ1zPJtLWBoSfJwQSLg7sXpDs9cOcxEF9UCHFBnbUCsTQluuKx1qBQxLQ6IkTJ8kJV1ZrcQyPYriJBmJYpLk4gQdlS+4h0SKOQorUtYsjBKWhkRZmFqefGXXshMCCcd0Ar5ghsSN0vEsaIY+ql0bIJ1aYm2mU+tghkSKOYsvRlWyMDO+DGENczybb1gaEmVh6q7kK6sGcHCSmES9dAIjwQyJjrIEVdIaL75sMaz6jauJVVasphMHJylJyDCXF/gCX9AhxafIau3yYX48zJKwYWlIVIdVv7Y5pcpq32OL2+yJSSiTTu90AtWgQ6LDmqDmwCpKWBoSfJwQSMAJ88qCGuAeUmSs41kRY40lDYmRYeZvnLfkJGJlR06PyJxopCGhhlWkU9kSPagAHRIp5vCqSNnMeIq0LMzxbPXC0pDg44RAwjGdIjpJUsLdCfACS3bxqRiwg3awv0woDZBO5KScTsRghkSKOYsvey+Ddemg7bA0JNzCcnOZNInK2tMphhN7WBoS9dIJjAQzJDrKEpR+Kd8MS0PCy4lG2pVdI04IJDAXapWuzpBu3Lhx8eLFwWAwPT09PT0d205NivGs2VHlJd+NbTUsDQl3J0Loo9quV7YsneidlIWlIWENc0wnUE0nZ0j9fv/w4cMTExN79+49ffr0hQsXYjtyIk/nse9MpfhnaIkWw9KQSMhJZmZUaAnqMFCPTs6Qvva1r/3Gb/zGsWPHhBAf+tCHTpw48Zu/+ZuPPfZYbF+urCb00HsZ5EaR3Greq9vthXkdqzovrinBJQgqqz6zG7c9Q4SVphO3Zrcdq6dTCxKth2nphOlRDTo5Q7p69er+/fuL7QMHDszPz1+7di2uJUdkmhaZKrflhtw2SwjCHI9VnctPY1gJssoWf5S47RkkrDqduDW7WmhNp640uxampRPwpXszpMFgsLi4uHXr1uKf69atGx8fv3//vjV4amqq2Oj3+0T+KpHZLEQmRK59/ArUpFdLCMLSkPB0or/9RYap22ahY1iTYz3DqtLJWsg5AayFXcixXD7oyKdPkpdB/nSvQypuG27evFmW9Hq9paUlazCTfqhAJmieCyEsi0UyrEDL5lbDvI7VCtuQIKtssdIlj9VizGuKY1iTY+uFlaVTAbdm765EdZhMJ1aol0HmnVP3lux6vZ4Q4vr167Jkbm5ubGwsnqOmqGPeAnX8RRbmfqyVsBJ8KstZIg0n1sIEKuv+2QGSTnZIW7ZsuX37dvHPO3fuDAaDHTt2xHXlgpagxS1QczhlzeO2w3yPrX4mKohEe2FCqUX1G9bJ2rN5WFk60TspCys7VghhPGUXWIKmsuZ3Y4Ev3euQhBCHDh06f/78/Py8EOLcuXO7d+/evn17bFM1KRtDWddnWg3zOTbXEML+doAGEu2GpSGRihNLOoWWiFNZdE++dO8ekhDi6NGj/X5/3759GzZs2Lhx48zMTGxHrhjDq1wIy4/ymaOw1SFYu2FpSDiHZUIMtXz3K1uaTuRO1lyOWdMJ+NLJDqnX67344ouxXQAAAAhJJzuk7mLO4mne8ukYloaEW1hmXWbsfmXt6RTDiT0sDYl66QRG0sl7SB2lLEHVH0IWkRbB05BwDrNfPgJKNLPXMMzyawgcmj0NCTPMmk6gHuiQ4mOmuLlITRCWhgQfJwQScMK5stYwUA06JDqsCVoMrNRRbUWY49lqhKUh4RJWrGilXVltksSh2ZOR0MLK0gnUA/eQIiAT2kjulUJtl7qtFoYNS0PCJUzdTrWyQkknJs2ejIQoaWrTCToqX9AhkaKlqdzOMrH6xcaV37MpDxsqDBuWhkRFmNrCqVc2J64snzYhq+zIFga+oEMiRWZzgdxe3dD7pJKwR9thw9KQKA/LhBhq26QrK9R0iu0kNQn3dAJeoEOiQyaolqZqYZYN5XRZmDDWEBqGpSFRHaaVp11ZmU5MnCQjIcO0SKsT4AseaojPcIrnQgz92J01bDU4ZFgaEmVhZd/Oac8JgcTIMPl0Q3QnKUnkef10AtWgQ6LDmqDWIZVLmOPZ3EUTkODjhEACTphXFtQAHVJkbMm9MkmqDlsNDhaWhkRJ2OjxbHAn8SqrBVi+JxvFSTISjumEe0g1wD0kUszhVT681i9xCXM8m3tYGhLWkrVTWTOsLDLVNmlbwl0U+IIZEkeKSVJsF4mAX6mpmCQBf9Z6OrUKZkikmLP44kJhFsrvkYwKczybU1gaEmqJ+mwuvRMCCWcnuXYlTbhN2pPQvnjkezYwEsyQ6ChLUPqlfDMsDQk+Tggk4CSKhJcT4As6pPiUrfiPfAu4ueTdJCwNCTVMTjHXQmVHOjFfcBfLSUclZDo1ORuoBh0SHdYENQdWUcLSkODjhEACTphXFtQAHVJkqlcAKr7YqIY5nq06LA0JGeY7PQruJMpKUbWT6reAp9EmLUloj8Y4OkFH5QseaiDFHF6tXj2rwmRmV4c5nq0iLA0J5SIS2QmBRA0nslmiO+mWhNKvezgBXmCGxJ9c4BFwbzIhcD2wgnSqAdKJCMyQSDFn8eoovjwsL/vV7VpnKw1rciwnCf355nhOWpeo5STPMsu3s5Jpk9ASlvcy1DsbGAlmSHSUJSj9Ur4ZloYEHycEEk2clNH1NmlDQsPLCfAFHVJ8zBQ3F6lXJ0kjwxzPZv9c1T6Wk4RldSXVyjZwkgtheXtDAm0SWsKSTk0Mg2rQIdFhTVBzYBUlLA0J98lBGpVt4sQxrFttElzCen5HJ6AGuIcUAZnQanKrhdqu1e2VO0mjwhzP1sQJU4liPMvBCY1EMyfFJCkfFdaxNgkooU6P6jlBR+ULOiRStDTNlOe5tcKSsFzeYq0MczxbyGOjS8jnPqI7oZRo5kRPpzTaJIiE+hhREyfAC3RIpMhsLpDbZmFFmLrd/GyhjuUjwcdJJyqr7U2gTfg0O/okX9Ah0SETVEtTrVDNaVtYLl85XBnmeLYAx3KQ8GqTVp2QSQRyMvRS+a63SSiJ5m0C6oGHGuIjU1yiDrXIwtKQ4OOEQAJOOFfWGgaqQYdEhzVBzSHVyLDVUW2YszU/NrpE9WuYE6tscCfyBXfRnTCRMKdH9ZyAGqBDikzZGEpLcYKwNCT4OFlTleXjhFVl0VH5gntIpJjDqyJlzcJRYfqdpGZnC3BsPIlMiKG7R0lXtiUnednL0bvYJs0k9HRq6AR4gRlSd7G8u2GtoX4xCzQD6YR0ig9mSKSYs/jiImAWRglLQ4KPEwKJsE6shZ1rEwKJemFgJJgh0VGWoA2Wre0vuKtxtsZOokhYXsMcyUkEiRac5GL4lyk61ybNJOzToyZOgC/okOJjpri5SF0WFvBsDZ0wkeDjhEAiuBOTzrUJgUSTMFANOiQ6rAlqdiqeYVU/Su1+thBOSCUsv+eTbmUJnejp1K02qX2s9RGhhk5ADXAPKQIyodXkVgu1XSPD5BJ2k7MFcUImoe5NvrJwQiBh7mruBB2VL+iQSNHSVG6bhT5hjx4Bb3i2xk6IJEK9+LITlSV3kos19gJf9eMT3AnwAh0SKTKbC+S2WegZNvS1pNpnC+GEQGKlN2LgJL5EO05y7dXp3WoTz2MzIYZ6o7CGgRfokOiQCaqlqVao5rR7mPZP37MFdNK2hPo5T76ysZyY19xYTtqWkBttOAG+4KGG+MgUl6jXAscw+Uay2mcL5aRVCe1ZhrQrG9GJ+oK7brWJ17FaOhH8dUA16JDosCaoOaSKEpaGBB8nBBJwwryyoAbokCJTNobSUtwlTI5q650toJOWJIQYMT0ic8JEolUnZW8BZ94mPsfavzkQ0Ak6Kl9wD4kUc3ilrV83DsuzLMuyfFSY/WxBnQSWKJ5lUAtjOWEl0bKTXAhLOsVwElii6I0InAAvMEMCAADAAsyQSDFn8cWoyixsEJabS1uOZwvtJNix6heP4jrhJtG+E0s6RXISTEJ91LtVJ5gk+YIOiY6yBA1+U0Hd5Xi2lpyEPZaDE0/D1pt6Ld63KHPSqgQfJwQSDTMWVIMlu/iYKW5b8vYI055ucDxbG06CSKhf0ozrxFdCCJErFF1RQAmaygrjpfLMm7362LKfIgzuxBoGqkGHRIc1Qc2BVZSwNCT4OCk7lo+TNdXsUSoLaoAluwjIhB4euD0q1HbVCHMZ1TqOLpscG0hi5ePesE0Imp1YgtDJ6HSyFrLMsaHpUavNjo7KF3RIpGhpKrfNwhBhue/ZWnPS6NjiQXYOTmqEaYUdanY1TAy/bpV5sxNIuDsBXqBDIkX5hAuhjK3MwihhaUjwcZJSZbW9nNuET7OjT/IFHRIdMkG1NNUK1ZwmC+Mtkcufl47txE9CCKGudHX0L2v+FiLzZufzgQK+kHZIb7zxxjvvvCP/+fTTT2/btq3YvnHjxsWLFweDwfT09PT0tIwpK6/e1S3MkZR1eNV2WBoSfJysxOZ6TBcrG+pszZ1wkGgSBqohfcrulVdeeemll/51lffee68o7/f7hw8fnpiY2Lt37+nTpy9cuFBdXr2LLdbPtpmvUcLYS1he05duZVk5WZmbMnDCQsLdCahDTsipU6dOnTpllh85cuTMmTPF9uXLl3ft2rW4uFhRXr1LMjk52UYtmmC2txD2wihhvCX0oqQry8cJmj1YGAcYXhVVqL+HND8/f+XKlbfeekstvHr16v79+4vtAwcOzM/PX7t2raK8ehdn8tX7w/K/PLcXRgnjLVG8N5aDE0YSLTtZeQMpAye8JBzDgC/UDzVcunTp1q1bs7OzExMTMzMz27dvHwwGi4uLW7duLQLWrVs3Pj5+//79snIhRMUukDS5EPoKEmgNNDWgpsUOaXl5eWlpqdju9XpCiBMnTrzwwgtCiIWFhZMnTx4/fvzVV1/N81wIsXnzZnlgr9dbWloqKxdCVOzSmJqaKjb6/X7g6tXCHDdlqw+McgjjL6EGJ1/ZuE7MBo/lhKFEvbBYyMsgf1pcsvv+97+/e5WFhQUhxKZNm4pdvV7v2LFjN2/eHAwGRV91/fp1eeDc3NzY2FhZuVjt3qy7NPqrtFFBX8oS1JrcxGFdkciN1/TFchJdolUncrEuuhNuEl5OmNBXiO1lBC3OkA4ePHjw4MGyvQ8fPhRCrF+/vtfrbdmy5fbt20X5nTt3BoPBjh07ysqFEBW7uojZUZWNTFsNS0OCjxMCCTjhXFlrGKiG9KEG+dzB3bt3z549+9RTTxVznUOHDp0/f35+fl4Ice7cud27d2/fvr2ivHoXW3I89h1CIi/5aW16J3El2nMivwkb3QlDCXcnoAakDzU899xz9+7dGxsbe/DgwZ49e1588cWi/OjRo/1+f9++fRs2bNi4cePMzEx1efWubhFlPcEa1iGJ1T7JfhlIrLLETsrey0DvhK2EuxN0VL7oyZcSU1NTDNdMtdwtmt8sjBLWKQn7r9okWllKJ0M9fRfbhEDC3Qk3eF4VJfg9JNBRLO9uAA2pmHcCQABerkqK9V6osK0ARAnrnITLveVkKgsnfCTqhYGRYIZER1mC0q9um2HdlMiFyBzC0qgsgRN9Ab9zbUIg4eUE+IIOKT5mipuL1ARhXZQwSbiycMJEImzGAhV0SHRYE9QcWEUJ66yE/j3ZpCvbohPz4bpYTphLuDsBNcA9pAjIhFaTWy3UdtGEdVRCfQQ8+cq25mTovQydbhNWzY6Oyhd0SKRoaSq3zcIoYR2VEGLokLQr24aTLOPipCsS7k6AF+iQSJHZXCC3zcIoYZ2VWJkkMXBCLRHCyaOmi+2kMxLuYcALdEh0yATV0lQrVHOaLKzrEuY1IpYTMolQTtTrZtfbhEDCywnwBQ81xEemuES9tpKFdVpCfcFd8pUN6ER7liGBNiGQaBIGqkGHRIc1Qc0hVZSwNCT4OCGQgBPmlQU1QIcUmbIxlJbiBGFdlyh7C3iSlQ3iRIgR0yMyJ92ScHeCjsoX3EMixRxeFSlrFkYJ675ELkSWZfmosDQq28hJ8SyDWphMmxBIuDsBXmCGBAAAgAWYIZFizuKLUZVZGCUsCYncuhKVaGVrOpFPyUd30lGJemFgJJgh0VGWoPSr22ZYGhJ8nBBINHFSRtfbhEDCywnwBR1SfMwUNxepCcLSkMhzIYyfSkq4sjWcqF8ijuukoxJNwkA16JDosCaoObCKEpaGhAyTT9zFckIgUc9J8cUjDk46KuHuBNQA95AiIBNaTW61UNtFE5aGhLory9ZQZd2dZBkXJx2VcHeCjsoXdEikaGkqt83CKGFpSKyW5Fn26EUEqVfWyYlYfdwjupOuS7g7AV6gQyJFZnOB3DYLo4SlIcHHCcPKqtuptgmfZkef5As6JDpkgmppqhWqOU0WloaEEZarzzenXtkRTtTX1iHHaJwAX/BQQ3xkikvUoRZZWBoSfJwQSMAJ58paw0A16JDosCaoOaSKEpaGhBmW57kQlqtCkpWtdDL0ZWHkGIETUAN0SJEpG0NpKU4QloaEGSaEpU9KtbIlTjIhLJdM5FjbTtBR+YJ7SKTYhvBCGAkdKywNCWvJ2qmsGVYWmWqbEEi4OwFeYIYE0qds4W5tkOkvrQOAK5ghkWLO4otRlVkYJSwNibLlFLU87cpqNWXiJCWJemFgJJgh0VGWoPSr22ZYGhIVYerLhAicEEi4hMlHvaM7SUbCywnwBR1SfFxW/AnC0pDg44RAAk44V9YaBqpBh0SHNUHNgVWUsDQkqsOq37iaWGVF+fSI3klKEu5OQA3QIUUmynqC47iyixLVYbJPSr6y1vcyRHGSnoS7E3RUvuChBlLM4VWRsmZhlLA0JEaGyStF2pWVu6I7SU/C3QnwAjMksNbIRfqPgGfC9k1YAJiDGRIp5iy+GFWZhVHC0pAYGZZRPQlNIFG2dqTVN5aTVCXqhYGRYIZER1mC0q9um2FpSDiGFd+TTbWywvZNWA7NnoaElxPgCzqk+Jgpbi5SE4SlIeHsRP9aUgsSUSprX6xj0+wpSDQJA9WgQ6LDmqDmwCpKWBoSfJwQSLhf79DsUSoLaoB7SBFQF/rltrb6r+6iCUtDwsdJrr4GO4HKqtMjxs3eeQl3J+iofMEMiRSZppOTU3Jb3ZDbZglBmO+xai1akmi1ssVfpEYtuFW2qEJRHf7NXl2LDjW7NUytBfAFMyRSZDYL0Ve2H20IMZT0aglBmP+xffXz2Y5Eq5VdmST51oJfZfvFN2EZOGnSJmE+FLErO/ShAF5ghkSHTNBcGdIKZRFAjrNkeZ4LmrB6x8rBYHsSbVdWCL9a8Kzs5OSUEPYwns1eVotuNbs1TK0F8CXxGdLU1NToIDr6qp/V7X6WDV1QhOhPTk5lWV8rbDms5rFTU1NtS7Ra2cnJybfffls+cScvNxKzpElYexKTk5PF36ITzV52bOMPBYvKFrWYnBRGGBgBfryLFOss3iyUKwCUYWlI8HFCIAEnnassqAZLdpGxDnuFLd3bDktDgo+TNVVZPk5YVRa9kS/okEhR16DFaspaC6OEpSHBx8maqiwfJ3wqC3zBkl0EZOKqbW8WRglLQ4KPEwIJOGFeWeAOOiQAAAAswJIdAAAAFqDAz3o+AAAE/0lEQVRDAgAAwAJ0SAAAAFiQ+Bdj6XnjjTfeeecd+c+nn35627ZtxfaNGzcuXrw4GAymp6enp6dlTFl59a64sDUmav0JKnZR1nR5efnNN9989913l5aWDh8+7GKvhvO2a1RWi4q/C8Na3Lhx49KlSz/60Y/Gx8c/+9nP7tmzx0WaWy06x2N//Md/HNtDUnzzm9/8p3/6p+Xl5Vu3bt26deujH/3oT/3UTwkh+v3+r/7qr/7iL/7iRz/60a985SuPPfbYz/3cz1WUV++KC1tjBb5/gopdxDX94he/+I1vfOPWrVvf/va3jx07JssDOieoUVktyv4uPGtx8ODBJ5544ud//ufv3r17+vTpLVu2fOxjH6uWZliL7pGDoJw6derUqVNm+ZEjR86cOVNsX758edeuXYuLixXl1bviwtZYge+foGIXcU0fPnxYCD355JMtOSeoUVktyv4uPGtx7949uf2Xf/mXn/zkJ6ut8qxF58A9pPDMz89fuXLlrbfeUguvXr26f//+YvvAgQPz8/PXrl2rKK/eFRe2xiRef4KKXcQ17fV61vKAzglqVFYLUfJ34VmLjRs3yu3NmzcvLi5WW+VZi86Be0jhuXTp0q1bt2ZnZycmJmZmZrZv3z4YDBYXF7du3VoErFu3bnx8/P79+2XlQoiKXXFha0zF/U8gymvEpKYBnUevkfl34V+LhYWFb33rW5/73OcqrPKvRVfADKkRy8vLC6sUJSdOnPj3f//3l19++d/+7d8mJyePHz8uhMjzXAixefNmeWCv11taWiorrziEolaVsDUm8foTVOxiUtOAzuPWyPp34V+LP/zDP/zJn/zJ4mZYMn8LtqBDasT3v//93asUfdKmTZuKXb1e79ixYzdv3hwMBsUixvXr1+WBc3NzY2NjZeVidd3DuisubI1JvP4EorxGTGoa0HncGln/LoJ3LT7/+c//7//+71/91V899thjFVaZ16JDYMmuEQcPHjx48GDZ3ocPHwoh1q9f3+v1tmzZcvv27aL8zp07g8Fgx44dZeVCiIpdcWFrzMrIP4EorxGTmgZ0zqRGQvm7cK7FH/3RH928efNb3/rW+Ph4UZLk34IVmCEFRt6WvHv37tmzZ5966qliKHTo0KHz58/Pz88LIc6dO7d79+5iAb2svHpXXNgaK/D9E1TsIq5psQJc3D9X14EDOieoUVktyv4uPGvxhS984T//8z//+q//emxsrLt/i86Bl6sG5hOf+MS9e/fGxsYePHiwZ8+er3/96xMTE0KIhYWFkydPXrlyZcOGDRs3bpyZmfnpn/7pivLqXXFha6zA909QsYu4pq+++uqzzz6rlszOzvZ6vYDOCWpUVouyvwvPWmg/Nt3r9WZnZ6ulGdaic6BDCs/CwsLs7OzOnTvN51/v379/7949M+3Kyqt3xYWtMVHrT1Cxi0lNAzqPVaOKv0uFK261qJbuUC0Ygg4JAAAAC3APCQAAAAvQIQEAAGABOiQAAAAsQIcEAACABeiQAAAAsAAdEgAAABagQwIAAMACdEgAAABYgA4JAAAAC9AhAQAAYAE6JAAAACxAhwQAAIAF6JAAAACwAB0SAAAAFqBDAgAAwAJ0SAAAAFiADgkAAAAL0CEBAABgATokAAAALECHBAAAgAXokAAAALAAHRIAAAAWoEMCAADAAnRIAAAAWIAOCQAAAAvQIQEAAGDB/wepu0dsSHwyvAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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rJe6FYcP8j83DtUmYY/lIUDmxvOCOMAHCSuSUfx3gBTokOmSCammqFao5XTtMrKz7y4+K1Ul1oeOxbUtkWZZly/8O0nRNjvWS0CLDSlBWVoihF2QQJ0BYCe1+JEECAHfwe0jxUYdyBepQiywsDQk+TspIsrJ8nBBINAkD1aBDosOaoOaQqnmY+pyu49lachLk2DzPl8e1sZ3UkMgUhMMPhLfnpIHE0FN2nWj2imNXHmRv3QmoAZbsIlM2hrIuO7QaloYEHydZJpY70+HCzlU24Nn4VzasE3RUvqBDIsUcXq2Mo4OFFUvkw0NC17OFdRJUopgk5aPC0qgsIydCWNIpipOgErlY+S5B206AF1iyAwAAwALMkEgpW7FxXNhxCMvcl4ladhJcItduZsRzwkiiVSdl6UTvpAUJp1cihTUMRoIZEh1lCRpq2bri8jHybGGdtCSx8sqA+E44SLTtRD4eHd1JaxJD6dSGE+ALOqT4mCluLlIThKUhwccJgQSccK6sNQxUgw6JDmuCmgOremHF+kPtswV00qqEOqpNvrIRnch0iu6kVQktncI6ATXAPaQIyIRWk1st1HY5hql7a5wtoJO2JbKMi5O4Eq06yTIuTlqVkJFtOEFH5Qs6JFK0NJXbZqFXWDGebX625k5IJPLiZUIMnMSXaMOJUN471cU28Tw2Vz8+wZ0AL9AhkSKzuUBum4U+YZkQQ7/OUPtsjZ2QSeTFqhIDJ5ElgjsRyhePOtom/sfqfVJAw8ALdEh0yATV0lQrVHPaJUyLrHe2IE4oJeQlILqTWBItOdGG+RGdUEpkWStOgC94qCE+atdSoA61RoVZvktR72yNnZBKVLzgLr3KEjrR06lzbVLv2CKdCP46oBp0SHRYE9QcUkUJ66KE9fypVhZO2pYQJZ1K7bOBGqBDikzZdVZL8ZKw0dMj97M1cxJBQohcOLw/O43KkjjJhO2bsN1qk9rHyklSQCfoqHzBPSRSzOGVXMKuEWY9sPbZGh4bRUJd+o/rJJZEQCdlJ+xcm9Q+Nrhh4AtmSN1Fnx6tQYpRbWwXaYB0QjrFBzMkUsxZfDGqMgurw7QvHjU8W5Bj40kMvSUz9cq24kSmU3QnDCT0dApoGIwEMyQ6yhKU/qaCGZaGBB8nBBJwEkXCywnwBR1SfFyW8tUwOYKrDnM8W5Bj40qMfCNZSpUN7sScEMRywkRi5FvAmxgG1aBDoqPsNjKHsDQk+DghkIAT5pUFNcA9pAjIhFaTWy3Udg2HZUKs3j0qD3M8W5hjGUjk1oljopUN6GQ1nWI7YSWRq/fVajtBR+ULOiRStDSV22ZhWZgQQ4c0PFvAY6NLZBkXJ5QSDZ0Ioe9NoE2CSMh0augEeIEOiRT1QiCUsZVZWDIEWx7PVoc5ni3ssQwkcnlDJLYTOokmTsx0SqNNAkksp1PDswEv0CHRIRNUS1OtUM1p7QTqN0XKwhzP1sQJW4ksy4uLbHQnBBKNnVi+eNT1NgktMbQOXMMJ8AUPNcRHprhEHWpVYA1zPJv1/LWPZS7Bx0lYiSZOrIUJtAmBRJMwUA06JDqsCWoOqUryOBPD7xlrcjbrOK72sXwkirGsGP6yfcKVre3ETKdYTthLWNLJ0QmoATqkyJSNoRxTXAtzPJv7ILpzEo6iyVQWTugl3J2go/IF95BIMYdXRcqahcMlqz8pHeJspWFpSGRZrr64OvXK1nCSFUN/Bk46IZFr70H3cgK8wAyJP5bVFTAKfaUFrIB0qgHSiQjMkEgxZ/HFqMoslCWZ8ZWRJmerDktDQg5X1XFr2pV1d2K2Tywn3ZIwP5I1zgZGghkSHWUJWrEerb5nrNVF8DQk1DDtBXfETggkajiR6RTdSeckZDp5OQG+oEOKj5ni5iI1QVgaEnycEEjACefKWsNANeiQ6LAmqDmwkmEV06MaZ6sOS0NCC1v5bZsITggkfJ1o6RTRSUclZDo5OgE1QIcUmSiLJ47jyi5K8HGypirLxwmryqKj8gUPNZBiDq9WRq9mWCbE6suGy8Mcz+YUlobEcEkuxNBrmymdEEjUS6eITjouob8FfKQT4AVmSBzRvvcAmqD93toaRF2sA41Z6+nUKpghkWLO4ovcNgujhKUhwccJgYRjmDUy1TYhkKgXBkaCGRIdZQlq5LF9etTqIngaEuVhllFtupXVwjIh9AlSFCdpSGSZsE6S0PcEAR1SfMxPgrmWTRCWhgQfJwQScBKrsrVFQTXokOiwJqg5njVvmZphjmdzD0tDoiJMmySlXVlJkU4cnCQjsRI2Ip1APXAPKQIyk9XPgPZhUHdZw1aus8HC0pCoCJORa6GyZq2jO0lGQu6qTqcM95D8QYdEipamcjtbfmHd8vSoOkwtDBuWhkR5WK62cOqVFcSV5dMmVJUdnU7AF3RIpMhsLpDbufJNEfmpKAkbKgwbloZEZdjQ90iSruxQOsVu9tQk3NMJeIEOiQ6ZoFqayn/KcZZWrv5THYIFDEtDwiVMi0m1slp59GZPRkILK0snUA881BCfLBPaVxfVoZYaphE2LA2JkWEVr21OprLmN2GjN3tKEsMzIb90AtWgQ6LDmqDmkCpKWBoSfJwQSMAJ88qCGqBDikwxujKfzNUKyoZaAcPSkHAJq3iZUBKVHT09onKik4aEFlaWThnuIfmDe0ik2IZX9nc1miXC+HgED0tDwi0sz7Isy3ItsuuVLUsneidrLMfs6QR8wQwJAAAAC7o6Q7p58+bFixcHg8Hk5OTk5GRsO65os3j12dyKMLEyRms7LA0JZye5trrV9cpWpBOxk4qwNCTqpRMYSSdnSP1+//Dhw1u3bt27d+/p06cvXLgQ25ETZQlKv5RvhnkdK0SmIYQlNI3KspVIyIklndKoLPClkzOkr33ta7/1W7917NgxIcSHPvShEydOfOpTn3rsscdi+/JDfqXO7Khy27fq2g5zP1YIoY0Ei9F5QAmqyubmD3vTt2eQsIp0InZSEVZWOJxQRQfVjWYfDhudTqCaTs6Qrl27duDAgWL74MGDc3Nz169fj2vJhTzdx75dztZQgk9lmUgk48SFLlYW1KB7M6TBYLCwsLB9+/bin+vWrduwYcODBw+swRMTE8VGv98n8udAMaUQIl/ZFupGkdxq3qvb7YWlIeHrRBi/bWNebqyrNLXDWpMoTSeGzV59rFnfruTYSjrlrKZH8jLIn+51SMWMeMuWLbKk1+stLi5ag1n1Q2JoFr/8nGi+vN6ymrtZW++CHB3meGyW6YXuZ+NWWXkjOmJ7BgmrTiduzV6dPMJY72Lb7FqYlk5MUC+DzDun7nVIvV5PCHHjxo19+/YVJbOzs2NjY1FNuSKzuUBum4VRwtKQ8HWiXQHTrmxXnFgLO1FZa4cKHOlkh7Rt27Y7d+4U/7x79+5gMNi5c2dcVy7IBF1J09XZvVI4lOgqrYZ5HSuEUJe52pCgqax6CzpiewYKs6dTDCf2sIpjzXTqTrOv/tN8hSDwpZMPNRw6dOj8+fNzc3NCiHPnzu3evXvHjh2xTdVH+TAuo46/yMLcjxUiVyn+GVaCT2U5S6TiJDczKoHKlnx2QBXdmyEJIY4ePdrv9/fv379x48ZNmzZNT0/HduSEOYtfeQtWboZZj20vLA0JTyej37Dercpa0ymKk4QlHNMJ1KOTHVKv13v11Vdju2gXLbfLhloBw9KQ4OMkSmWtoNnDSrg7QQ/lSyc7pO5SNqpt+y2fjmFpSLiECZJ32rZdC/d0iuHEHpaGhGM6AV86eQ8pMfI8F7ZX74DWSHl1BelETsrpRAxmSKSYs3g5qlLLy8LMwrBhaUiMDMuyxCsrjPrGcpKqRL10AiPBDImOsgTNc6H+xlfEew9dl3AJkzefE66s+ZNx0Zs9GQktrCydQD3QIcXH/CTYFqlbD0tDgo8TAgk44VxZaxioBh0SHdYElQMrOaqtDnM8m29YGhIjwyrGs4lVVp0kRW/2lCTUMEyPgoMOKTLqZ6DiIkKwxpKGREWY9b0M7TmJW1mhpFN0J4lJiOVuaUQ6ZbiH5A8eaiDFHIUVKasWZplTmOPZvMLSkKgIk7vWQmUL5GUxupOUJBzTCfiCGRI3coFndlshE8YrDNYASKeWWJvp1DqYIZFizuKLUdXwfQ6nMMezeYWlIVG26qI1MoETAgnHdOLgJGEJx7OBkWCGREdZghqF9lFtqyv+aUiUhQnbVxdTrawWVnxPloOTNCSyTLikE6gHOqT4WD8JZqFZYi55NwlLQ8IaZiXVyq5xJ7EkmqQikKBDosOaoObAKs+FOUmyhjmezSUsDYmSS4BluT/VypY4saRTJCcJSDilE6gH7iFFQL2rIbe1Wx3qTwlUhjmebXRYGhJCv7KsXj6Sr2ylk6FfpojqpNMSyy9RdXSCjsoXdEikaGmaKY/kaoVFZmt7rWGOZ3MJS0OCj5M1VVk+TtqTyDJvJ8ALdEiklI2tzMI8F1m2+qPUlWGOZxsdloaEUrL6owBroLIjnehz7lTbpDWJ1Q+j+9mAF+iQ6JAJqqWpVliW0xVhjmerCEtDQgvT/pl2ZV2ciJKWoXfSRQmzHxrpBPiChxriI1NcYoxqR4Q5nq06LA0JGebyZpdWnRBI+DrR3k0V0UnnJNR0anI2UA06JDqsCWoOqaKEpSHBxwmBBJwwryyoATqkyJSNoZQ1luJHqUeEOZ6tIiwNCbF8yfCeHgV3QlZZLyd4gW+NMDWdvJygo/IF95BIMYdX+fCafklYrt6fb3y20rAmx/KRKG7da2v96Va2hpO8uMIycNIBCS2dfJ0ALzBDAgAAwALMkEgxZ/Erd5tHhuXmukGDs9nDmhzLRsLSSpGcUEjUdWJPpxhOmEtkQugvrqt9NjASzJDoKEtQx9Vt82xW6q2VNzmWjwQfJwQScBJFwssJ8AUdUnzMFDcXqYti7dkGa5jj2ayfq9rHspGw3BqJ5IRCopkTPZ3iOWEqYd49am4YVIMOiQ5rgpoDq4qwkd8j8TpbqGOZSFhv1EdxQiMRwslQn5RAmwSUKNKpiRNQA9xDioBMaDW51UJtl/FRGR3meLZQxzKRMHclXNlQTmQ6RXfCTULdW88JOipf0CGRoqWp3DYLy8NWn9kNcbZgx8aVqNEm3a1sUCdD6ZRGmzSXCNUmwBd0SKTIbC6Q22Zhddjwh6fp2YIcG13Ct006XdmwTtTtBNokiESoNgFeoEOiQyaolqZaoZrTJWHFuxvyUWGOZ2t6bHQJsfKT0tGdUEqEczL0FvCoTlhIiOFfKG/iBPiChxrio3wSllGHWmRhaUjwcUIgASecK2sNA9WgQ6LDmqDmkMolrPhR6lBna3hsXImRr2FOqbItOVm5kxTfCQMJy/SonhNQA3RIkSkbQ2kpbvsM5ELoF5HaZ2t4bDwJ/XUD8ZxEkAjoxPq1pChOokrY315R2wk6Kl9wD4kUc3i1MsyvE2Y9sPbZGh4bRSLLuDiJJRHQSdkJO9cmtY8Nbhj4ghlShykmSbFdRMN8GxtoQsUkaW2AdIoPZkikmLP44gpgFjqGaYVhz0ZguKGEtTDVysJJqxJl6RTQMBgJZkh0lCVokwV0c1Rb72zNnRBLlL2Gmd5JLIl2nAylU+fapPax8sH3sE6AL+iQ4uOylE8QloYEHycEEnDCubLWMFANOiQ6ym4jNwyr+FFq97MFcUIm0fzFlx2qLLGTNfgCX5lOYZ2AGuAeUgRkQqvJrRZquxzC9B+lrnG2QE4IJJZXVxg4iSzRkhOx8u6G6E5IJDIhVl9bF9YJOipf0CGRoqWp3DYLfcOyLMDZgjhpW8KseMKVjeXE2tRdaROvY4WwVDygE+AFOiRSZDYXyG2z0D8sL9YempwtkJNWJVbHs7GdsJBozYn+UvkOtYn7scVsWz0kuGHgBTokOmSCammqFao57RWmDvd8zxbWSXsSWmTalY3rJMu4OGlPQpvTBHcCfMFDDfFRr7YF6lDLPaziBXcuZwvopDWJ0W92SaiykZ3Id1NFd9KahJ5OBH8dUA06JDqsCWoOqZqF5WL43Q2OZ2vBSXCJTAj98hHJCQsJEieWdzdwbhP3Y4WwpFNYJ6AG6JAiUzaG0lKcICwNCT5O1lRl+ThxPLaMsE7QUfmCe0ikmMMruV4fLizXJhPuZwvtJOCxQw+1R3XCS6J9J5Z00uTI5wAAIABJREFUiuQkoIT+i47tOQFeoEMCoC3M9a4sE6LkFTUAAHRIpJiz+OKSZRY2C8vVG7buZ2vBSYBj1eeP4zqpJaE9hWH/CSuGza6E6ekUz0kACfUr5G07wSTJF9xDoqMsQemX8s2wNCT4OLGSamX5OCGQaJIAYCSYIcXH7Khy27fqvMJGvrbZ+rlyLAwbNvJY9euZTdrElAje7C4ElCCs7Oi3gHclxypWDsI2uzUMVIMOiQ5rgua2G6TmJ8o3rMYai7Uw+JJFjWO11/RJajddk2P5SFA60b6yQ5wAYSXKXqUavNlBDbBkF5ko6wnu48rOSfBxsqYqy8cJq8pieuQLZkikWAdcwkjoxmGZEKtTCvezteAkyLH6u8zjOfEOK3nQjtpJMwk9neI5CSKx+owGgRPgBWmH9Oabb966dUv+c9++fU8++WSxffPmzYsXLw4Gg8nJycnJSRlTVl69CwAOWDtRrO0AUAZph/Taa6/94Ac/2L17d/HPp556quiQ+v3+Jz/5yc9//vMf/OAHT58+fefOnU9/+tMV5dW7ONP2AnqWCSEsL3xzPFtoJwGPzcteZEfuhJdE+06SbPahH3xqzwkmSd7khJw6derUqVNm+ZEjR86cOVNsX7lyZdeuXQsLCxXl1bsk4+PjbdSiNtbGNguFsBc6hml/U8ezteEktIReGs8JCwk0ezMJS73adsIBbldFDeqHGubm5q5evfr222+rhdeuXTtw4ECxffDgwbm5uevXr1eUV+/qHOYajnVhxy0sE8aLABzPFtpJcAnLiz4jOeEi0b4T+/ONnNvE+Vj7e2Pb/uuAaqgfarh8+fLt27dnZma2bt06PT29Y8eOwWCwsLCwffv2ImDdunUbNmx48OBBWbkQomIXZ/KWH/suu/Pv+FEJ6KQ1iaGFu6hO4ku07WQNPG0/Ip0aOgE1aLFDWlpaWlxcLLZ7vZ4Q4sSJE6+88ooQYn5+/uTJk8ePH3/99deLhNiyZYs8sNfrLS4ulpULISp2aUxMTBQb/X4/cPUaIHNXzWO1UNvlGKburXG2gE5alZDr9dGdRJdo24m5i3+bsGr2XF+tiIO8DPKnxQ7pjTfeeOmll4rt//zP/+z1eps3by7+2ev1jh079sILLwwGg6KvunHjxr59+4q9s7OzY2NjZeVipXuz7tJg1Q8JI03ltlnoG6bepK19tiBOWpbItVfbJV3ZaE603y/vVpv4HJsL5c3fbTjhgHoZZN45tdghTU1NTU1Nle199OiREGL9+vW9Xm/btm137twpyu/evTsYDHbu3FlWLoSo2MUcmc0FctssjBLWFQl1O/nKxnKiXnm71Sa+x6rbwQ0DL0gfapDPHdy7d+/s2bPPPfdcMdc5dOjQ+fPn5+bmhBDnzp3bvXv3jh07Ksqrd7FFJmieL/9XoBWqOe0YJsTQUniNs4VyQiKRi5VfxY3tJKZEe06KdOLghESimCS14gT4QvpQw8svv3z//v2xsbGHDx/u2bPn1VdfLcqPHj3a7/f379+/cePGTZs2TU9PV5dX7+oc5kgqtw2vysKEGPGeMcezNXdCJrHyxJ3lNynSqyyxEy2dOtcmNY6V6UTw1wHV6N96S4mJiQlu95AcPz9yBcAlbGSH5Hi25k4oJRr+SFJAJxEl2nBiplMsJ5QSbfxIUllhXBheFVXwctXIyBUAjZK+x3IC8/JR72wNnRBLWL+WFMVJRIkWnFhGqN1qk3rHynQK64Rbb8QfvFyVlDw3PwlCWD4eHmFqYcOzNXRCLFF2bJKVpXGipVNEJ8wl3J0ALzBD6jDFwndsF9GomCSBGpivrVtjIJ3igxkSKUxuKpTfP0hBgo8TAomwTqyFnWsTAol6YWAkmCHRUZagdZet7dOjemdr5iSixOif1qZyQi0R1knZ26/pnUSVsL/grrYT4As6pPi43BrRwtSnVJufrfmxESW0PintyrbkpOwH6+idRJcw+6SwhkE16JDosCaoObCKEpaGBB8nBBJwwryyoAa4hxQBmdDDo9TVQm2XEba6WFcZ5ni2AMfGlRDDv7eWdmVbcLKcTgycMJHIzRWIek7QUfmCDokULU3ltllYEWb+v8nZQh0bV6JGm3S3smGdaOdJoE2aS4RqE+ALOiRSZDYXyG2zsDwsEyLXPjYNzhbs2NgSufaC6qQrG9DJUDql0SYhJHLt3Q21zwa8QIdEh0xQLU21QjWnzTC5UR3meLYgxzKRyDIuTmgkgjjRIrveJgEltH/WcwJ8wUMN8VGvDgXqUEsN0766WBbmeLYmThhKmK9tjuWETKKxE/2bsAm0SSgJ+fRmWMOgGnRIdFgT1BxSlYeN7o18zhbsWD4S1nc3pFvZhk4yMfw9tgTaJKyE+kMnNZyAGqBDikzZGEpLcYKwNCT4OFlTleXjJKxEGY5O0FH5gntIpNhGYUIYCW0bha3eYm1+trKwJseykci1sX/Sla3txJ5OMZwwl8izLMsyfSrp7gR4gRkSAAAAFmCGRIo5iy9GVWahWlL266j1zlYR1uRYPhLFqFbeb0u9st5OGv62If82CS2Ri3C/gQmqwQyJjrIErV6PltfWVlf8mxzLR0KGmS+4I3ZCIFHPifr1mrhOOiShppOXE+ALOqT4mCluLlIThKUhwccJgQSccK6sNQxUgw6JDmuCmgMrNaxselTvbBVhaUioYWU/Sk3jhECihhM1neI66ZyEmk6OTkANcA8pAspFU+17VgvVXVnmFOZ4toqwNCSEcclYO5Ud6USWR3fSUYks83OCjsoXdEikaGkqt83CLBPyVmp1mOPZXMLSkFBKcvWXflKv7EgnQw96RHXSUYnlR8C9nAAv0CGRonQ2QihjK7Ow+L+2tyzM8Wwjw9KQUEuEWEOVrXYimyK6kwQk3MOAF+iQ6JAJqqWpVpgtLw7o7xmzhjmebWRYGhK2sLzsPlyKlS11IowHl2M56bjE6teu3Zod+IGHGuKjDudlmRDGFcUIU0dkzcPSkLCFWV5wR+CEQMLZiSWdIjlJQCIXwpJQjmcD1aBDosOaoOaQyjrIsoY5ns0lLA0JPk4IJNydWL2h2WuHuYiCeqBDioxtqJUJoS3XlQ61AoalIVESpk+Skq6sVmKZHkVxkoxEMUlycYKOyhfcQyLFHIUVKWsWRglLQ6IsTC1PvrJr2QmBhGM6AV8wQ+JG6XgWNEMf1a4NkE4tsTbTqXUwQyLFnMUXoypZmBlfhrCGOZ7NNywNibIwdVfylVUDODhJTKJeOoGRYIZER1mCKmmNF1+2GFb9xtXEKitW0omDk5QkZJjLC3yBL+iQ4lNktXb5MD8eZknYsDQkqsOqX9ucUmW177HFbfbEJJRJp3c6gWrQIdFhTVBzYBUlLA0JPk4IJOCEeWVBDXAPKTLW8ayIscaShsTIMPM3zltyErGyI6dHZE400pBQwyrSqWyJHlSADokUc3hVpGxmPEVaFuZ4tnphaUjwcUIg4ZhOEZ0kKeHuBHiBJbv4VAzYQTvYXyaUBkgnclJOJ2IwQyLFnMWXvZfBunTQdlgaEm5hublMmkRl7ekUw4k9LA2JeukERoIZEh1lCUq/lG+GpSHh5UQj7cquEScEEpgLtQo6pJgU41kzxc1FamH7JIQNS0PC3Ym50tL1ypalE72TsrA0JKxhjukEqkGHRIc1Qc0hXpQwz2MzleKfoSVaDEtDIiEnmZlRoSWow0A9cA8pAisJPfReBrlRJLea9+p2e2Fex6rOi2tKcAmCyqrP7MZtzxBhpenErdltx+rp1IJE62FaOmW4h+QPOiRS1DTNsqFtmbuZ7U1ZNGGOx6rOxcpnNawEWWWFGAqI0p5BwqrTiVuzVyePMC7obJtdCxPCcghwBx0SKTKbhciEyJWxlT7gKhmCtRuWhoSnE/3tLzJM3TYLHcOaHOsZVpVO1kLOCWAt7EKO5fJBR/RJNUCHRIdM0DwXQlgWi2RYgZbNrYZ5HasVtiFBVtlipUseq8WY1xTHsCbH1gsrS6cCbs3eXYnqMJlOoB54qCE+6pi3QB1/kYW5H2slrASfynKWSMOJtTCByrp/doAEHRIdWoIWt0DN4ZQ1j9sO8z22+pmoIBLthQmlFtVvWCdrz+ZhZelE76QsrOxYIcRwQtnTiWezq2Hmd2OBL1iyi0zZGMq6PtNqmM+xrq+WaCDRblgaEqk4sb9aIqhEnMqie/IFHRIpxvAqF8Lyo3zmKGxlCNZuWBoSzmGZGP4aafcrW5pO5E7WXI5Z0wn4giU7AAAALMAMiRTb0hbFWz4dw9KQcAvL3BceO1VZezrFcGIPS0OiXjqBkWCGREdZgqo/hCwiLYKnIeEcZr98BJRoZq9hmOXXEDg0exoSZpg1nUA90CHFx0xxc5GaICwNCT5OCCTghHNlrWGgGnRIdFgTtBhYqaPaijDHs9UIS0PCJaxY0Uq7stokiUOzJyOhhZWlE6gH7iFFQCa0kdzLhdoudVstDBuWhoRLmLqdamWFkk5Mmj0ZCVHS1KYTdFS+oEMiRUtTuZ1lYuWLjXnG6cWXXZSoCFNbOPXK5sSV5dMmZJUd2cLAl/Ad0tLS0ltvvfXee+8tLi4ePnxY3XXz5s2LFy8OBoPJycnJycmR5fUO4YzM5gK5vbKh90klYavbYcPSkCgPy4QYatukKyvUdIrtJDUJ93QCXoS/h/SlL33pc5/73Le//e0vf/nLanm/3z98+PDWrVv37t17+vTpCxcuVJfXO4QzMkHzfPm/ArVQDM/6y8K01G8eloZEdZjayMlXVi3h4CQZCRmmNbLVCfAmD82jR4/yPL9y5cozzzyjlh85cuTMmTPF9pUrV3bt2rWwsFBRXu8QlfHx8eC1a4K1sYXQy4s/ilFoKQkYloZERZiW6mlXdrhEMHGShsRK2Ih0UoNZwe2qqBF+htTr9azl165dO3DgQLF98ODBubm569evV5TXO4Qz2vBKFpq4hDmezV00AQk+Tggk4IR5ZUENiB77HgwGCwsL27dvX1Zdt27Dhg0PHjwoK693SBexJXcuhP7aZjNsJThYWBoSJWH2lxe06iReZbUAy/dkozhJRsIxnXAPqQZNH2pYWlpaXFwstsvmRmL5Iiu2bNkiS3q93uLiYll5vUNMJiYmio1+v+9btTYwh1dFypoJ7RLmeDb3sDQkrCVrp7JmWFlkqm3StoS7KBPkZZA/TWdIb7zxxu4V5ufny8KKvurGjRuyZHZ2dmxsrKy83iEm/RXq1i8OxSQptotEwK/UVEySgD/dS6e+QmwvI2g6Q5qampqamhoZ1uv1tm3bdufOneKfd+/eHQwGO3fuLCuvdwh/zFl8caEwC/N86C2Z5WGOZ3MKS0NCLVGfzaV3QiDh7CTXrqQJt0l7EtoXj3zPBkYS/h7S0tLS/Pz8wsKCEGJ+fl5Omw4dOnT+/Pm5uTkhxLlz53bv3r1jx46K8nqHcKYsQemX8s2wNCT4OCGQgJMoEl5OgC/hvxh76dKlF198sdh+9tlnhRAzMzO9Xu/o0aP9fn///v0bN27ctGnT9PR0EVNWXrGr4pAuYnZUeW6fJJWEOZ5tRFgaEmqYHM+uhco6OBlKp6hOOilR9iIVr7OBarq3HurOxMQEtzVTx8+PXAGo7pDCrk6kIaGGydZbC5V1cUK/CJxSs6vpVNtJdBheFVXwtu/IVK8AyNvRBMsOaUgIW28UxUmUlaJqJ3nlW8DTaJOWJLRHYxydcOuN+IOXq5KS13r8VBmjBThbRVgaEspFJLITAokaTpT5d2Qn3ZJQ+nUPJ8ALzJD4kws8Au5NJgSuB1aQTjVAOhGBGRIpdVe387Jf3Q67Vt7kWE4S+vPN8ZxQ36Rxc5JnmeXbWcm0SWgJy3sZ6p0NjAQzJDrKEpR+Kd8MS0OCjxMCiSZOyuh6m7QhoeHlBPiCDik+Zoqbi9Qrk6SRYY5ns3+uah/LScKyupJqZRs4yYWwvL0hgTYJLWFJpyaGQTXokOiwJqg5sIoSloaE++Qgjco2ceIY1q02CS5hPb+jE1AD3EOKgExoNbnVQm3XyvbynaRRYY5na+KEqUQxnuXghEaimZNikpSPCutYmwSUUKdH9Zygo/IFHRIpWppmyvPcWmFJWC5vsVaGOZ4t5LHRJeRzH9GdUEo0c6KnUxptEkRCfYyoiRPgBTokUmQ2F8hts7AiTN1ufrZQx/KR4OOkE5XV9ibQJnyaHX2SL+iQ6JAJqqWpVqjmtC0sl+/UqgxzPFuAYzlIeLVJq07IJAI50V9wF88JI4nmbQLqgYca4iNTXKIOtcjC0pDg44RAAk44V9YaBqpBh0SHNUHNIdXIsJVRbZizNT82uoQcz0Z3QikRyol8wV10J0wkzOlRPSegBuiQIlM2htJSnCAsDQk+TtZUZfk4YVVZdFS+4B4SKebwqkhZs3BUmH4nqdnZAhwbTyITYujuUdKVbclJXvZy9C62STMJPZ0aOgFeYIbUXSzvblhrqF/MAs1AOiGd4oMZEinmLL64CJiFUcLSkODjhEAirBNrYefahECiXhgYCWZIdJQlaINla/sL7mqcrbGTKBKW1zBHchJBogUnuRj+ZYrOtUkzCfv0qIkT4As6pPiYKW4uUpeFBTxbQydMJPg4IZAI7sSkc21CINEkDFSDDokOa4KanYpnWNWPUrufLYQTUgnL7/mkW1lCJ3o6datNah9rfUSooRNQA9xDioBMaDW51UJt18gwuYTd5GxBnJBJqHuTryycEEiYu5o7QUflCzokUrQ0ldtmoU/Y6iPgDc/W2AmRRKgXX3aisuROcrHGXuCrfnyCOwFeoEMiRWZzgdw2Cz3Dhr6WVPtsIZwQSCz3RgycxJdox0muvTq9W23ieWwmxFBvFNYw8AIdEh0yQbU01QrVnHYP0/7pe7aATtqWUD/nyVc2lhPzmhvLSdsScqMNJ8AXPNQQH5niEvVa4Bgm30hW+2yhnLQqoT3LkHZlIzpRX3DXrTbxOlZLJ4K/DqgGHRId1gQ1h1RRwtKQ4OOEQAJOmFcW1AAdUmTKxlBairuEyVFtvbMFdNKShBAjpkdkTphItOqk7C3gzNvE51j7NwcCOkFH5QvuIZFiDq+09evGYXmWZVmWjwqzny2ok8ASxbMMamEsJ6wkWnaSC2FJpxhOAksUvRGBE+AFZkgAAABYgBkSKeYsvhhVmYUNwnJzacvxbKGdBDtW/eJRXCfcJNp3YkmnSE6CSaiPerfqBJMkX9Ah0VGWoMFvKqi7HM/WkpOwx3Jw4mnYelOvxfsWZU5aleDjhECiYcaCarBkFx8zxW1L3h5h2tMNjmdrw0kQCfVLmnGd+EoIIXKFoisKKEFTWWG8VJ55s1cfW/ZThMGdWMNANeiQ6LAmqDmwihKWhgQfJ2XH8nGyppo9SmVBDbBkFwGZ0MMDt9VCbVeNMJdRrePossmxgSSWP+4N24Sg2YklCJ2MTidrIcscG5oetdrs6Kh8QYdEipamctssDBGW+56tNSeNji0eZOfgpEaYVtihZlfDxPDrVpk3O4GEuxPgBTokUpRPuBDK2MosjBKWhgQfJylVVtvLuU34NDv6JF/QIdEhE1RLU61QzWmyMN4Sufx56dhO/CSEEOpKV0f/suZvITJvdj4fKOALHmqIj3LJWkYdapGFpSHBx8ly7PBTdtafJWVe2YBna+iEiUSTMFANOiQ6rAlqfuCjhLGXsLymL93KsnKyPDdl4ISFhLsTUAN0SJEpG0NpKU4QloYEHydrqrJ8nLCqLDoqX3APiRRzeFWkrFkYJYy3RK6N1pOuLBMn9jeQxnDCS8LdCfACMyTQIXIhsCpPhr5YB0DbYIZEijmLL0ZVZmGUMP4SanDylY3rxGzwWE4YStQLAyPBDImOsgSlX902w7oiYb6mL5aT6BKtOike9ebghJuElxPgCzqk+Jgpbi5SE4SlIcHHCYEEnHCurDUMVIMOiQ5rgpoDqyhhHZIo+2lteidxJdpzIr8JG90JQwl3J6AGuIcUmSjrCY7jSrYS5hN3sZzElWjDSdl7GeidsJVwd4KOyhd0SKSYw6siZc3CKGFpSPBxQiDRhhO1vIttQiDh7gR4gSU70FEs724ADamYdwJAAGZIpJiz+OKiahZGCeuchLUw1crCCR+JemFgJJgh0VGWoPSr22ZYNyVyMfw92aQrS+BEv3vUuTYhkPByAnxBhxQfM8XNRWqCsC5KmCRcWThhIhE2Y4EKOiQ6rAlqDqyihHVWQv+ebNKVbdGJ+XBdLCfMJdydgBrgHlIEZEKrya0WartowjoqoT4CnnxlW3My9F6GTrcJq2ZHR+ULOiRStDSV22ZhlLCOSggxdEjalW3DSZZxcdIVCXcnwIvwHdLS0tJbb7313nvvLS4uHj58WJa/+eabt27dkv/ct2/fk08+WWzfvHnz4sWLg8FgcnJycnJSPVvZropDOCOzuUBum4VRwjorsTxJYuCEWiKEk9Wmi+2kMxLuYcCL8B3Sl770pUuXLj399NM3btxQO6TXXnvtBz/4we7du4t/PvXUU0WH1O/3P/nJT37+85//4Ac/ePr06Tt37nz6058uYsp2VRzCGZmgWppqhWpOk4V1XcK8RsRyQiYRyol63ex6mxBIeDkB3uShefToUZ7nV65ceeaZZ9TyU6dOnTp1yow/cuTImTNniu0rV67s2rVrYWGhelfFISrj4+NhqhQIa2MLoZcX/zQLWw1LQEKmc3QnNBJBnKhXgATahEDC3YkZxgFuV0WN8E/Z9Xq9sl1zc3NXr159++231cJr164dOHCg2D548ODc3Nz169erd1Ucwhl1CK8WcghLQ4KPEwIJOGFeWVAD0ocaLl++fPv27ZmZma1bt05PT+/YsWMwGCwsLGzfvr0IWLdu3YYNGx48eCCEKNtVcUgXMZO7QEtxgrCuS+T56p2kuE7IJBo6EcPfhE2jTVg1OzoqX5p2SEtLS4uLi8V2xdxICHHixIlXXnlFCDE/P3/y5Mnjx4+//vrrxedhy5YtMqzX6xUnLNtVcYjJxMREsdHv9+tULzTm8KpIWbMwSlj3JXIhsizLR4WlUdlGTopnGdTCZNqEQMLdCQfkZZA/TZfs3njjjd0rzM/PV0Ru3ry52Oj1eseOHXv33XcHg0HRh924cUOGzc7Ojo2NiZXuzdxVcYhJf4XaFQQAgE7TV4jtZQRNZ0hTU1NTU1O+Rz169EgIsX79+l6vt23btjt37hTld+/eHQwGO3fuFEKU7ao4hD/mLD5beWCUQ1gSErl1JSrRytZ0UrG2mUCbEEjUCwMjCf9Qw9LS0vz8/MLCghBifn5eTpvkcwf37t07e/bsc889V8x1Dh06dP78+bm5OSHEuXPndu/evWPHjiKybFfFIZwpS1D61W0zLA0JPk4IJJo4KaPrbUIg4eUE+BL+oYZLly69+OKLxfazzz4rhJiZmen1ei+//PL9+/fHxsYePny4Z8+eV199tYg5evRov9/fv3//xo0bN23aND09LU9VtqvikC5idlS57Vt1bYelIZGvfE9WmySlW1lvJ9qXiCM66ahEkzBQjeWNiskwMTHBbc3U8fMTaz0hAQkZpvZJyVfW3YlsluhOuivRxEl0GF4VVfAuuwjIWX+uPK6jFmq7aMLSkFB3Zdkaqqy7E3mVjO6koxLuTrj1RvxBh0SKlqbKuFUvjBKWhsRKSZ5lq9Ok1Cvr5ESI1ekRcozGCfACHRIpMpsL5LZZGCUsDQk+ThhWVt1OtU34NDv6JF/QIdEhE1RLU61QzWmysDQkjLChdzekXtkRTrSbahGddFrCywnwBb8YGx+Z4hJ1qEUWloYEHycEEnDCubLWMFANOiQ6rAlqDqmihKUhYYbleS6E5aqQZGUrnQw9T4scI3ACaoAOKTJlYygtxQnC0pAww4Sw9EmpVrbESSaE5ZKJHGvbCToqX3APiRTbEF4II6FjhaUhYS1ZO5U1w8oiU20TAgl3J8ALzJBA+pQt3K0NUv7yO0gMzJBIMWfxxajKLIwSloZE2XKKWp52ZbWaMnGSkkS9MDASzJDoKEtQ+tVtMywNiYqwlZ/vI3JCIOESJh/1ju4kGQkvJ8AXdEjxcVnxJwhLQ4KPEwIJOOFcWWsYqAYdEh3WBDUHVlHC0pCoDlMnSclXVpRPj+idpCTh7gTUAB1SZKKsJziOK7soUR0m+6TkK2t9L0MUJ+lJuDtBR+ULHmogxRxeFSlrFkYJS0NiZJi8UqRdWbkrupP0JNydAC8wQwJrjVyk/wh4JmzfhAWAOZghkWLO4otRlVkYJSwNiZFhGdWT0AQSZWtHWn1jOUlVol4YGAlmSHSUJSj96rYZloaEY1jxPdlUKyts34Tl0OxpSHg5Ab6gQ4qPmeLmIjVBWBoSzk70ryW1IBGlsvbFOjbNnoJEkzBQDTokOqwJag6sooSlIcHHCYGE+/UOzR6lsqAGuIcUAXWhX25rq//qLpqwNCR8nOTqa7ATqKw6PWLc7J2XcHeCjsoXzJBIkWk6Pj4ht9UNuW2WEIT5HqvWoiWJVitb/EVq1IJbZYsqFNXh3+zVtehQs1vD1FoAXzBDIkVmsxB9ZXt1Q4ihpFdLCML8j+2rn892JFqt7PIkybcW/CrbL74Jy8BJkzYJ86GIXdmhDwXwAjMkOmSC5sqQViiLAHKcJcvzXNCE1TtWDgbbk2i7skL41YJnZcfHJ4Swh/Fs9rJadKvZrWFqLYAvic+QJiYmRgfR0Vf9rGz3s2zogiJEf3x8Isv6WmHLYTWPnZiYaFui1cqOj4+/88478ok7ebmRmCVNwtqTGB8fL/4WnWj2smMbfyhYVLaoxfi4MMLACPDjXaRYZ/FmoVwBoAxLQ4KPEwIJOOlcZUE1WLKLjHXYK2zp3nZYGhJ8nKypyvJxwqqy6I18QYdEiroGLVZS1loYJSwNCT5O1lRl+TjhU1ngC5bsIiATV217szBKWBoSfJwQSMAJ88qGyOSIAAAFD0lEQVQCd9AhAQAAYAGW7AAAALAAHRIAAAAWoEMCAADAgsS/GEvPm2++eevWLfnPffv2Pfnkk8X2zZs3L168OBgMJicnJycnZUxZefWuuLA1Jmr9CSp2UdZ0aWnprbfeeu+99xYXFw8fPuxir4bztmtUVouKvwvDWty8efPy5cs//vGPN2zY8Gu/9mt79uxxkeZWi87x2B//8R/H9pAUf/VXf/UP//APS0tLt2/fvn379tNPP/0zP/MzQoh+v/8bv/EbH/vYx55++umvfvWrjz322Ec+8pGK8updcWFrrMD3T1Cxi7imX/ziF//iL/7i9u3b3/nOd44dOybLAzonqFFZLcr+LjxrMTU19cQTT/z8z//8vXv3Tp8+vW3btp/7uZ+rlmZYi+6Rg6CcOnXq1KlTZvmRI0fOnDlTbF+5cmXXrl0LCwsV5dW74sLWWIHvn6BiF3FNHz16VAg988wzLTknqFFZLcr+Ljxrcf/+fbn9l3/5l88//3y1VZ616By4hxSeubm5q1evvv3222rhtWvXDhw4UGwfPHhwbm7u+vXrFeXVu+LC1pjE609QsYu4pr1ez1oe0DlBjcpqIUr+LjxrsWnTJrm9ZcuWhYWFaqs8a9E5cA8pPJcvX759+/bMzMzWrVunp6d37NgxGAwWFha2b99eBKxbt27Dhg0PHjwoKxdCVOyKC1tjKu5/AlFeIyY1Deg8eo3Mvwv/WszPz3/rW9964YUXKqzyr0VXwAypEUtLS/MrFCUnTpz44Q9/+O1vf/s//uM/xsfHjx8/LoTI81wIsWXLFnlgr9dbXFwsK684hKJWlbA1JvH6E1TsYlLTgM7j1sj6d+Ffi9///d//6Z/+6eJmWDJ/C7agQ2rEG2+8sXuFok/avHlzsavX6x07duzdd98dDAbFIsaNGzfkgbOzs2NjY2XlYmXdw7orLmyNSbz+BKK8RkxqGtB53BpZ/y6Cdy1eeuml//7v//7rv/7rxx57rMIq81p0CCzZNWJqampqaqps76NHj4QQ69ev7/V627Ztu3PnTlF+9+7dwWCwc+fOsnIhRMWuuLA1ZmXkn0CU14hJTQM6Z1IjofxdONfiD/7gD959991vfetbGzZsKEqS/FuwAjOkwMjbkvfu3Tt79uxzzz1XDIUOHTp0/vz5ubk5IcS5c+d2795dLKCXlVfvigtbYwW+f4KKXcQ1LVaAi/vn6jpwQOcENSqrRdnfhWctvvCFL/zXf/3X3/7t346NjXX3b9E58HLVwHz0ox+9f//+2NjYw4cP9+zZ8/Wvf33r1q1CiPn5+ZMnT169enXjxo2bNm2anp7+2Z/92Yry6l1xYWuswPdPULGLuKavv/76iy++qJbMzMz0er2AzglqVFaLsr8Lz1poPzbd6/VmZmaqpRnWonOgQwrP/Pz8zMzMs88+az7/+uDBg/v375tpV1ZevSsubI2JWn+Cil1MahrQeawaVfxdKlxxq0W1dIdqwRB0SAAAAFiAe0gAAABYgA4JAAAAC9AhAQAAYAE6JAAAACxAhwQAAIAF6JAAAACwAB0SAAAAFqBDAgAAwAJ0SAAAAFiADgkAAAAL0CEBAABgATokAAAALECHBAAAgAXokAAAALAAHRIAAAAWoEMCAADAAnRIAAAAWIAOCQAAAAvQIQEAAGABOiQAAAAsQIcEAACABeiQAAAAsAAdEgAAABagQwIAAMACdEgAAABYgA4JAAAAC/4/rIxwucJrO5EAAAAASUVORK5CYII=",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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px44di4uL2Z9Xr17tdDq7d+/268oEbYKqQ6rqYeJ9uoZHq8mJk32zX40LwUkJCekuO49OKkgM3PbdiGYv2Ld/I3vtTkAJmtchMcYOHDhw8uTJlZUVxtiJEydmZmZ27drl21RJ8sZQ2mWHWsPikAjHSZIwxlKJ9e7Vg5PyEg6PFn5l3TpBR2VL864hMcYOHz7cbrf37t07MTExOTk5Pz/v25Ep6vCqP452FpYtkQ8OCU2P5taJU4lskpQOC4ujsgE5YUyTTl6cOJVIWf+7BHU7AVY0skNqtVpPPvmkbxcAAABc0sgOqbmos/hsVKUWlg1LtItChkdz6sS5RCpdzPDnJCCJWp3kpRO9kxokjB6J5NYwGEojryE1lLwEdbVsXXD6GHo0t05qkhB/Nc6vkxAk6nbCb4/27qQ2iYF0qsMJsAUdkn/UFFcXqQnC4pAIxwmBBJyEXFltGCgGHRId2gRVB1blwrL1h9JHc+ikVomCn9YmduJdolYnPJ28O6lVQkont05ACXANyQM8ocXkFgullwzDxFdLHM2hk7olkiQUJ34lanWSJKE4qVWCR9bhBB2VLeiQSJHSlG+rhVZh2Xi2+tGqOyGRSLOHCQXgxL9EHU6Y8NypJraJ5b6p+PFx7gRYgQ6JFJ7NGXxbLbQJSxgb+HWG0ker7IRMIs1WlQJw4lnCuRMmfPGooW1iv6/cJzk0DKxAh0QHT1ApTaVCMadNwqTIckdz4oRSgp8CvDvxJVGTE2mY79EJpUSS1OIE2IKbGvwjdi0Z4lBrWJjmuxTljlbZCalEwQPu4qssoRM5nRrXJuX2zdKJ4N0BxaBDokOboOqQyktYEyW0x4+1snBStwTL6VRKHw2UAB2SZ/LOs1KK54QNnx6ZH62aEw8SjKXM4PnZcVSWxEnCdN+EbVablN6XT5IcOkFHZQuuIZGiDq/4EnaJMO2OpY9WcV8vEuLSv18nviQcOsk7YOPapPS+zg0DWzBDai7y9GgEyUa1vl3EAdIJ6eQfzJBIUWfx2ahKLSwOk754VPFoTvb1JzHwlMzYK1uLE55O3p0EICGnk0PDYCiYIdGRl6D0FxXUsDgkwnFCIAEnXiSsnABb0CH5x2QpXwzjI7jiMMOjOdnXr8TQJ5LFVFnnTtQJgS8ngUgMfQp4FcOgGHRIdORdRg4hLA6JcJwQSMBJ4JUFJcA1JA/whBaTWyyUXhoMSxjbuHqUH2Z4NDf7BiCRaieOkVbWoZONdPLtJCiJVLyuVtoJOipb0CGRIqUp31YL88IYG9il4tEc7utdIklCcUIpUdEJY/KrEbSJEwmeThWdACvQIZEingiYMLZSC3OGYOvj2eIww6O53TcAiZRfEPHthE6iihM1neJoE0cS6+lU8WjACnRIdPAEldJUKhRzWjqA+E2RvDDDo1VxEqxEkqTZSda7EwKJyk40Xzxqepu4lhhYBy7hBNiCmxr8w1OcIw61CtCGGR5Ne/zS+wYuEY4TtxJVnGgLI2gTAokqYaAYdEh0aBNUHVLl5HHCBp8zVuVo2nFc6X3DkcjGsmzwy/YRV7a0EzWdfDkJXkKTToZOQAnQIXkmbwxlmOJSmOHRzAfRjZMwFI2msnBCL2HuBB2VLbiGRIo6vMpSVi0cLNn4SWkXR8sNi0MiSVLxwdWxV7aEkyQb+gfgpBESqfQcdCsnwArMkMJHs7oChiGvtIA+SKcSIJ2IwAyJFHUWn42q1EJekihfGalytOKwOCT4cFUct8ZdWXMnavv4ctIsCfUjWeJoYCiYIdGRl6AF69Hic8ZqXQSPQ0IMkx5wR+yEQKKEE55O3p00ToKnk5UTYAs6JP+oKa4uUhOExSERjhMCCTgJubLaMFAMOiQ6tAmqDqx4WMH0qMTRisPikJDC+r9t48EJgYStEymdPDppqARPJ0MnoATokDzjZfHEcFzZRIlwnIxUZcNxElRl0VHZgpsaSFGHV/3RqxqWMLbxsOH8MMOjGYXFITFYkjI28NhmSicEEuXSyaOThkvITwEf6gRYgRlSiEjfewBVkH5vbQQRF+tAZUY9nWoFMyRS1Fl8lttqoZewOCTCcUIgYRimjYy1TQgkyoWBoWCGREdegip5rJ8e1boIHodEfphmVBtvZaWwhDF5guTFSRwSScK0kyT0PU5Ah+Qf9ZOgrmUThMUhEY4TAgk48VXZ0qKgGHRIdGgTVB3PqpdM1TDDo5mHxSFRECZNkuKuLCdLpxCcRCPRDxuSTqAcuIbkAZ7J4mdA+jCIL2nD+udZZ2FxSBSE8chRqKxaa+9OopHgLxWnU4JrSPagQyJFSlO+naw/sG59elQcJha6DYtDIj8sFVs49soy4sqG0yZUlR2eTsAWdEik8GzO4Nup8E0R/qnICRsodBsWh0Rh2MD3SKKu7EA6+W722CTM0wlYgQ6JDp6gUpryP/k4SyoX/xSHYA7D4pAwCZNiYq2sVO692aORkMLy0gmUAzc1+CdJmPTVRXGoJYZJuA2LQ2JoWMFjm6OprPpNWO/NHpPE4EzILp1AMeiQ6NAmqDqk8hIWh0Q4Tggk4CTwyoISoEPyTDa6Uu/MlQryhloOw+KQMAkreJhQFJUdPj2iciITh4QUlpdOCa4h2YNrSKTohlf6ZzWqJUz5eDgPi0PCLCxNkiRJUimy6ZXNSyd6JyOWY/p0ArZghgQAACAIMEMiRZrFi/fmFoSx/hit7rA4JIydpNLqVtMrW5BOxE4KwuKQKJdOYCjokOjIS1D6pXw1zGrf9VOfsrdDCZrKivEe2zOcd9aTE006lbsMVsVe9bD8zwswBUt23uD35uo+jZrCusPM92WMpQJZV+RWgqay6gPuvLSnk7CCdCJ2UhCWVziYUJU+FFX2rRhmkk6gGHRIdGgTVB3ieQmrKGFytIoS4VQ2EIlonJjQxMqCEmDJzgPZMoU0seAbWXKLeT84EK4rLA4JWydM+W2b0sNw8wlBPRK56RRgsxfvq9a3KTnWT6c0K0RHZQs6JFKENF2/TzRLWTF3k+AffJkkcqH50UKrLL8Q7bE9nYQVp1NozV6cPIzpDxhgs0thUjoBW9AhkcKzOYNvq4VewuKQsHUinQHjrmxTnGgLG1FZbYcKDEGHRAdP0H6abszuhcKBRBepNcxqX8aYuMxVhwRNZcVnvnlsT0dh+nTy4UQfVrCvmk7NafaNP9VHCAJbSDukl19++c033+R/3nnnnTfddFO2ffny5dOnT3c6ndnZ2dnZWR6TV178UrNQR1La4VXdYeb78rOeuJdbCZrKKrXy057hvLOenMjfnUqSRlZWIuezA4ogvcvumWee+drXvvbDPj/72c+y8na7ffDgwe3bt+/Zs+fYsWOnTp0qLi9+KVjSVM7aNE0ZkxNZDWO6OYrbsDgkLJ0Mf8J6syqrTScvTrRhcUjkh2F65IKUkKNHjx49elQtP3To0PHjx7Ptc+fO3X777b1er6C8+CXO1NRUHbWogtre2jdBW0IQFoeEsRO5NIrK6tMppGaPQUIXNjydQiDAs6II9feQVlZWzp8//9prr4mFFy5c2LdvX7a9f//+lZWVixcvFpQXvxQyaf+yJ/+Xpmm2hD5YqIbpC92GxSFhEsb6DyGNrrL6dAqk2aORkEry0gnYQn1Tw9mzZ69cubKwsLB9+/b5+fldu3Z1Op1er7dz584sYNOmTePj40tLS3nljLGCl5pIuv4Fb+QvGTGvriCdyIk5nYipsUNaW1tbXV3NtlutFmPsyJEjjz/+OGOs2+0+8MAD999//7PPPpu9l9u2beM7tlqt1dXVvHK2vlauf0lieno622i3246rVwp13JTobtrJC1ML3YbFITE0rD+qjbayTKmvLyexSpRLJ1/w02D41Lhk9/zzz8/06Xa7jLGtW7dmL7Varfvuu+/111/vdDpZX3Xp0iW+4/Ly8tjYWF4563dv2pck2n3qqKAteQmapnxUux6mJe/U4yQsDgmTMH5vbsSVTZWfjPPe7NFISGF56RQUbQHfXoZQ4wxpbm5ubm4u79Xr168zxm644YZWq7Vjx47FxcWs/OrVq51OZ/fu3XnljLGCl5qI2lGlAd2S2zCJcJwQSMBJyJXVhoFiSG9q4PcdvPPOO0888cRtt92WzXUOHDhw8uTJlZUVxtiJEydmZmZ27dpVUF78UrCkhfeV8lFtcZjh0WzD4pAYGlYwno2ssuIkyXuzxyQhhjVietQsSG9qePjhh69duzY2Nvbee+/dcccdTz75ZFZ++PDhdru9d+/eiYmJycnJ+fn54vLil5qF+BnITiIEC0rasDgkCsK0z2Woz4nfyjIhnbw7iUyCrXdLQ9IJ06MSxHx/yPT0dIBrplLuZs0vFCaMpepgTQlbL3QbFodEfljC+veejUBlM9bTKQAnUUkYplOAhHlW5OD3kEIjZbov24PKbJw+RgmkU02MZjrVDh6uSor2WiiTr3MYhRkezSosDom8VRepkQmcEEgYplMITiKWMDwaGApmSHTkJahSqB/V1rriH4dEXph2aTrWykph2bMbQnASh0S2WDc0nUA50CH5J++K6NASdcm7SlgcEtowLbFWdsSd+JKokoqAgw6JDm2CqgOrNGXqJEkbZng0k7A4JHJOAZrl/lgrm+NEk06enEQgYZROoBy4huQB8aoG35YudYhPJCsMMzza8LA4JJh8Ztk4fURf2UInAw+48+qk0RLrt9EbOkFHZQs6JFKkNOXbamGW2dKr2jDDo5mExSERjpORqmw4TuqTSBJrJ8AKdEik5I2t1MI0ZUmy8aPUhWGGRxseFoeEULLxtdARqOxQJ/KcO9Y2qU1i48NofjRgBTokOniCSmkqFebldEGY4dEKwuKQkMKkP+OurIkTltMy9E6aKKH2Q0OdAFtwU4N/eIpzlFHtkDDDoxWHxSHBw0ye7FKrEwIJWyfSA+48OmmchJhOVY4GikGHRIc2QdUhlZewOCTCcUIgASeBVxaUAB2SZ/LGUMIaS5okydAww6MVhMUhwdZPGdbTI+dOyCpr5aTgKeBxtEkdEmI6WTlBR2ULriGRog6v0sE1/ZywVLw+X/louWFV9g1HIrt0L631x1vZEk70TwGPpk3cSkjpZOsEWIEZEgAAgCDADIkUdRbfv9o8NCxV1w0qHE0fVmXfYCQ0reTJCYVEWSf6dPLhJHCJhDH5wXWljwaGghkSHXkJari6rR5NS7m18ir7hiMRjhMCCTjxImHlBNiCDsk/aoqri9RZsXRvgzbM8Gjaz1XpfYOR0P9AaqSVrehETid/TgKVUK8eVTcMikGHRIc2QdWBVUHY0O+RWB3N1b6BSOT9XHeUlXXkZKBPiqBNHEpk6VTFCSgBriF5gCe0mNxiofSS8lEZHmZ4NFf7BiKhvhRxZV054enk3UloEuKr5Zygo7IFHRIpUprybbUwP2zjnl0XR3O2r1+JEm3S3Mo6dTKQTnG0SXUJV20CbEGHRArP5gy+rRYWhw1+eKoezcm+3iVs26TRlXXrRNyOoE2cSLhqE2AFOiQ6eIJKaSoVijmdE5Y9uyEdFmZ4tKr7epdg/Z+U9u6EUsKdk4GngHt1EoQEG/yF8ipOgC24qcE/widhHXGoRRYWh0Q4Tggk4CTkymrDQDHokOjQJqg6pDIJy36U2tXRKu7rV2LoY5hjqmxNTvpXkvw7CUBCMz0q5wSUAB2SZ/LGUFKK6z4DKWPySaT00Sru609CftyAPyceJBw60X4tyYsTrxL6p1eUdoKOyhZcQyJFHV71h/llwrQ7lj5axX29SCRJKE58STh0knfAxrVJ6X2dGwa2YIbUYLJJkm8X3lCfxgaqUDBJGg2QTv7BDIkUdRafnQHUQsMwqdDt0QgMV5TQFsZaWTipVSIvnRwaBkPBDImOvAStsoCujmrLHa26E2KJvMcw0zvxJVGPk4F0alyblN6X3/ju1gmwBR2Sf0yW8gnC4pAIxwmBBJyEXFltGCgGHRIdeZeRK4YV/Ci1+dGcOCGTqP7gywZVltjJCD7Al6eTWyegBLiG5AGe0GJyi4XSSwZh8o9SlziaIycEEuurKwE48SxRkxPWf3aDdyckEgljG4+tc+sEHZUt6JBIkdKUb6uFtmFJ4uBoTpzULaFWPOLK+nKibeqmtInVvoxpKu7QCbACHRIpPJsz+LZaaB+WZmsPVY7mNdXQpQAAIABJREFUyEmtEhvjWd9OgpCozYn8UPkGtYn5vtlsW9zFuWFgBTokOniCSmkqFYo5bRUmDvdsj+bWSX0SUmTclfXrJElCcVKfhDSnce4E2IKbGvwjnm0zxKGWeVjBA+5MjubQSW0Sw5/sElFlPTvhz6by7qQ2CTmdCN4dUAw6JDq0CaoOqaqFpWzw2Q2GR6vBiXOJhDH59OHJSRASJE40z24IuU3M92VMk05unYASoEPyTN4YSkpxgrA4JMJxMlKVDceJ4b55uHWCjsoWXEMiRR1e8fV6d2GpNJkwP5prJw73Hbip3auTsCTqd6JJJ09OHErIv+hYnxNgBTokAOpCXe9KEsZyHlEDAECHRIo6i89OWWphtbBUvGBrfrQanDjYV7z/2K+TUhLSXRj6n7AKsNmFMDmd/DlxICF+hbxuJ5gk2YJrSHTkJSj9Ur4aFodEOE60xFrZcJwQSFRJADAUzJD8o3ZUqe5bdVZhQx/brP1cGRa6DRu6r/j1zCptoko4b3YTHEoQVnb4U8CbkmMFKwdum10bBopBh0SHNkFT3QVS9RNlG1ZijUVb6HzJosS+0mP6OKWbrsq+4UhQOpG+skOcAG4l8h6l6rzZQQmwZOcZL+sJ5uPKxkmE42SkKhuOk6Aqi+mRLZghkaIdcDEloSuHJYxtTCnMj1aDEyf7ys8y9+fEOiznRjtqJ9Uk5HTy58SJxMY9GgROgBXokACoC20nirUdAPJAh0RK3QvoScIY0zzwzfBorp043DfNe5AduZOwJOp3EmWzD/zgU31OMEmyBdeQ6MhLULer26qoydHqcEIvEY4TAgk48SJh5QTYgg7JP2qKaxd2zMISpjwIwPBorp04l9A86NOTk1Ak6neiv78x5DYx3lf/3Ni63x1QDDokOrQJqg6sSoepqyvmR3PrpDaJgZOIVyf+Jep2UnC3PbGT2iTkdHLrBJQA15A8wBNaTG6xUHrJMEx8tcTRHDqpVYKv13t34l2ibifqS+G3SVDNjo7KFnRIpEhpyrfVQtsw8SJt6aM5cVKzRCo92i7qynpzIv1+ebPaxGbflAlP/q7DCbACHRIpPJsz+LZa6CWsKRLidvSV9eVEPPM2q01s9xW3nRsGVqBDooMnqJSmUqGY04Zh4tWjckdz5YREYuMXenw78SlRnxOm/FxQU9qk1L7y164dOgG2uO+Q1tbWXn311bfeemt1dfXgwYPiS5cvXz59+nSn05mdnZ2dnR1aXm6XxqGOpLTDq7wwxoY8Z8zwaNWdkEnwX43z7sSvRB1OpHRqXJuU2JenE8G7A4pxf5fdo48+es899zz11FOPPfaYWN5utw8ePLh9+/Y9e/YcO3bs1KlTxeXldgmZVJjRi4UhhMUhEY4TAgk4CbyyoAypa65fv56m6blz52655Rax/NChQ8ePH8+2z507d/vtt/d6vYLycruITE1NOa9dRdT2ZkxfaBgmvYOVj0Zg2KGEJn/jrSyNE7m0iW1Sbt+8dHJoOAQCPCuKuJ8htVotbfmFCxf27duXbe/fv39lZeXixYsF5eV2CZy0fxGV/0tTfaFhGGMuj1ZlX3qJvPaMsrI0TqR0amiblNu3po8nsILoi7GdTqfX6+3cuXNdddOm8fHxpaWlvPJyu4wa/Nr+aJLqnt0ASqP9YvUogXTyT9WbGtbW1lZXV7PtvLkRYyxL9G3btvGSVqu1urqaV15uF5Xp6elso91u21atDtRxEx+ahRAWh0Q4Tggk3DrRFjauTQgkyoX5gp8Gw6fqDOn555+f6dPtdvPCsr7q0qVLvGR5eXlsbCyvvNwuKu0+ZevnkrwE1Sa3QZh+elTuaNWceJQY/tPaVE6oJdw6yXv6Nb0TrxL6B9yVdhIIbQHfXoZQdYY0Nzc3Nzc3NKzVau3YsWNxcTH78+rVq51OZ/fu3Xnl5XZpKGpHlQ67r7SOu1Sr7OtVIpW+hhV1ZWtxwr+I491JABLyD524NQyKcX8NaW1trdvt9no9xli32+XTpgMHDpw8eXJlZYUxduLEiZmZmV27dhWUl9slZFLc9o3KxljZcJwQSJg7ASVw/8XYM2fOPPjgg9n2rbfeyhhbWFhotVqHDx9ut9t79+6dmJiYnJycn5/PYvLKC14q2KUR8IQWk1sslF5SwjYW6wrDDI/mYF+/Emzw99birmwNTtbTKQAngUgMfE+2ihN0VLbEfF/N9PR0gGumYpoKayZyYUHYyDz4st42aW5l3Tpx9bDacNqkuoTDB/iGRphnRQ6eZUcKz+YMvq0W5ocljKWDH54qR3O2r2+JVOqToq6sQycD6RRHm7iQGHjAXZWjASvQIdHBE1RKU6lQzGk1jG8Uhxkezcm+gUgkSShOaCScOJEim94mDiWkP8s5AbbgF2P9I54dMsShlhgm3f+TF2Z4tCpOApRI05SxJAQnZBKVncgr9hG0iSsJ/o0Ct4ZBMeiQ6NAmqDqkyg8b3hvZHM3ZvuFIaJ/dEG9lKzpJ2OD32CJoE7cS2RCntBNQAnRInskbQ0kpThAWh0Q4TkaqsuE4cSuRh6ETdFS24BoSKbpRGGNKQutGYQO/IVbxaHlhVfYNRiKVxv5RV7a0E306+XASuESaJEmSyFNJcyfACsyQAAAABAFmSKSos/hsVKUWiiV5v45a7mgFYVX2DUdCephQ7JW1diJ9ycajk4ZIpGzYjzIbHg0MBTMkOvIStHg9mp9ba13xr7JvOBI8TLq7Ie7KWjkRv17j10mDJMR0snICbEGH5B81xdVFaoKwOCTCcUIgASchV1YbBopBh0SHNkHVgZUYljc9Kne0grA4JMQwPqodhcoaOhHTya+TxkmI6WToBJQA15A8IJw0xb5no1B8KUmMwgyPVhAWhwRTThmjU9mhTni5dycNlUgSOyfoqGxBh0SKlKZ8Wy1MEsYvpRaHGR7NJCwOCaFk4+6GEajsUCcDN3p4ddJQifVbwK2cACvQIZEidDaMCWMrtTD7X3o1L8zwaEPD4pAQSxgbocoWO+FN4d1JBBLmYcAKdEh08ASV0lQqTNYXB+TnjGnDDI82NCwOCV1YmncdLsbK5jphyo3Lvpw0XGLja9dmzQ7swE0N/hGH87yMMeWMooSJI7LqYXFI6MI0D7gjcEIgYexEk06enEQgkTKmSSjDo4Fi0CHRoU1QdUilHWRpwwyPZhIWh0Q4TggkzJ1ovaHZS4eZiIJyoEPyjG6olTAm/5Bv3lDLYVgcEjlh8iQp6spKJZrpkRcn0UhkkyQTJ+iobME1JFLUUViWsmqhl7A4JPLCxPLoKzvKTggkDNMJ2IIZUmjkjmdBNeRR7WiAdKqJ0Uyn2sEMiRR1Fp+NqnhhonwZQhtmeDTbsDgk8sLEl6KvrBgQgpPIJMqlExgKZkh05CWokNZ48GWNYcVPXI2ssqyfTiE4iUmCh5k8wBfYgg7JP1lWS6cP9eOhlrgNi0OiOKz4sc0xVVb6HpvfZo9MQph0WqcTKAYdEh3aBFUHVl7C4pAIxwmBBJwEXllQAlxD8ox2PMt8rLHEITE0TP2N85qceKzs0OkRmROJOCTEsIJ0yluiBwWgQyJFHV5lKZsod5HmhRkerVxYHBLhOCGQMEwnj06ilDB3AqzAkp1/CgbsoB70DxOKA6QTOTGnEzGYIZGizuLznsugXTqoOywOCbOwVF0mjaKy+nTy4UQfFodEuXQCQ8EMiY68BKVfylfD4pCwciIRd2VHxAmBBOZCtYIOySfZeFZNcXWRmuk+CW7D4pAwd6KutDS9snnpRO8kLywOCW2YYTqBYtAh0aFNUHWI5yXMct9EJPvTtUSNYXFIROQkUTPKtQR1GCgHriF5oJ/QA89l4BtZcot5L27XF2a1r+g8O6c4lyCorHjPrt/2dBGWm06hNbtuXzmdapCoPUxKpwTXkOxBh0SKmKZJMrDNczfRPSmLJsxwX9E5639W3UqQVZaxgQAv7ekkrDidQmv24uRhygk92GaXwhjT7ALMQYdECs9mxhLGUmFsJQ+4coZg9YbFIWHpRH76Cw8Tt9VCw7Aq+1qGFaWTtjDkBNAWNiHHUn6jI/qkEqBDooMnaJoyxjSLRTwsQ8rmWsOs9pUK65Agq2y20sX3lWLUc4phWJV9y4XlpVNGaM3eXIniMJ5OoBy4qcE/4pg3Qxx/kYWZ76vFrUQ4lQ1ZIg4n2sIIKmv+2QEcdEh0SAmaXQJVh1PaPK47zHbf4nuinEjUF8aEWhQ/YZ2sPauH5aUTvZO8sLx9GWODCaVPpzCbXQxTvxsLbMGSnWfyxlDa9Zlaw2z2NX20RAWJesPikIjFif7REk4l/FQW3ZMt6JBIUYZXKWOaH+VTR2H9IVi9YXFIGIclbPBrpM2vbG46kTsZuRzTphOwBUt2AAAAggAzJFJ0S1sUT/k0DItDwiwsMV94bFRl9enkw4k+LA6JcukEhoIZEh15CSr+EDLztAgeh4RxmP704VCimr2KYZpfQwih2eOQUMO06QTKgQ7JP2qKq4vUBGFxSITjhEACTkKurDYMFIMOiQ5tgmYDK3FUWxBmeLQSYXFImIRlK1pxV1aaJIXQ7NFISGF56QTKgWtIHuAJrST3eqH0krgtFroNi0PCJEzcjrWyTEinQJo9GgmW09SqE3RUtqBDIkVKU76dJKz/xcY0CenBl02UKAgTWzj2yqbElQ2nTcgqO7SFgS3okEjh2ZzBt/sbcp+UE7ax7TYsDon8sISxgbaNurJMTCffTmKTME8nYAU6JDp4gkppKhYmyUBO54UxZQ2hYlgcEsVhUnncleXpFIiTaCR4mBSpdQJswU0N/hlM8ZSxgR+704b1g12GxSGRF5b37Zz6nBBIDA3jdzd4dxKTRJqWTydQDDokOrQJqh1SmYQZHs1cNAKJcJwQSMBJ4JUFJUCH5Bldcq9PkorD+sHOwuKQyAkbPp517sRfZaUAzfdkvTiJRsIwnXANqQS4hkSKOrxKB9f6OSZhhkczD4tDQlsyOpVVw/IiY22TuiXMRYEtmCGFSDZJ8u0iEvArNQWTJGDPqKdTrWCGRIo6i89OFGoh/x7JsDDDoxmFxSEhloj35tI7IZAwdpJKZ9KI26Q+CemLR7ZHA0PBDImOvASlX8pXw+KQCMcJgQSceJGwcgJscT9DWltbe/XVV996663V1dWDBw/y8pdffvnNN9/kf95555033XRTtn358uXTp093Op3Z2dnZ2VnxaHkvFezSONSOKk31k6ScMMOjDQmLQ0IM4+PZUaisgZOBdPLqpJESeQ9SsToaKMb9DOnRRx+95557nnrqqccee0wsf+aZZ772ta/9sM/PfvazrLzdbh88eHD79u179uw5duzYqVOn+C55LxXsEjKpj9tPDcPikAjHCYEEnAReWVCG1DXXr19P0/TcuXO33HKLWH706NGjR4+q8YcOHTp+/Hi2fe7cudtvv73X6xW/VLCLyNTUlJsquUNtb8b0hcI2MwkzPFpxWBwS/Q3m3QlZZc2diM3i10mzJMRTZemjhUCAZ0UR9zOkVquV99LKysr58+dfe+01sfDChQv79u3Ltvfv37+ysnLx4sXilwp2CZy0fwsy/5em+kK+zZhRmOHRisPikBDbbUQqa+5EbJZY26QOCd5uVkcDtpDeZXf27NkrV64sLCxs3759fn5+165dnU6n1+vt3LkzC9i0adP4+PjS0hJjLO+lgl0iJWUsYQzZbQVaLA+kUwnQYkRU7ZDW1tZWV1ez7YK5EWPsyJEjjz/+OGOs2+0+8MAD999//7PPPpumKWNs27ZtPKzVamUHzHupYBeV6enpbKPdbpepnmvUcVNidMNomver26WOlhtWZd+QJOT7m/05qV2ilJM0STTfzoqmTVxLaJ7LUO5ovuCnwfCpumT3/PPPz/TpdrsFkVu3bs02Wq3Wfffd9/rrr3c6nawPu3TpEg9bXl4eGxtj/e5NfalgF5V2n9IVdEhegmqTmzgsDolwnBBIVHGSR9PbpA4JCSsngdAW8O1lCFVnSHNzc3Nzc7Z7Xb9+nTF2ww03tFqtHTt2LC4uZuVXr17tdDq7d+9mjOW9VLBLQ1E7qlRzw2iqjml1YYZH0/eOpfcNSUKzuhJrZSs4Sfu3MXt3EriEJp2qGAbFuL+pYW1trdvt9no9xli32+XTJn7fwTvvvPPEE0/cdttt2VznwIEDJ0+eXFlZYYydOHFiZmZm165dWWTeSwW7hEyK277rr6yJKIETAomKTgzDmtUmziW0xzd0Akrg/qaGM2fOPPjgg9n2rbfeyhhbWFhotVoPP/zwtWvXxsbG3nvvvTvuuOPJJ5/MYg4fPtxut/fu3TsxMTE5OTk/P88PlfdSwS6NgCe0mNxiofRSf3v9StKwMMOjVXESqEQ2ng3BCY1ENSfrk6QAnAQqIU6PyjlBR2VLzA8KnJ6eDnDNVExTvq0W5oXxt6w4zPBoDvf1LsHv+/DuhFKiohMpneJoEycS4m1EVZyERphnRQ4erkqKcCJgTBhbqYUFYeJ29aO52jcciXCcNKKy0qsRtEk4zR5mnxQy6JDo4AkqpalUKOa0Lizlz9QqDDM8moN9Q5CwapNanZBJOHIiP+DOn5OAJKq3CSgHnvbtH57iHHGoRRYWh0Q4Tggk4CTkymrDQDHokOjQJqg6pBoa1h/Vujla9X29S/DxrHcnlBKunKT9n+/z7iQQCXV6VM4JKAE6JM/kjaGkFCcIi0MiHCcjVdlwnARVWXRUtuAaEinq8CpLWbVwWJh8Jana0Rzs608iYWzg6lHUla3JycaVJN9OvEvI6VTRCbACM6Tmsr7SMsqIX8wC1UA6IZ38gxkSKeosPjsJqIVewuKQCMcJgYRbJ9rCxrUJgUS5MDAUzJDoyEvQCsvWmlFtuaNVduJFQvMYZk9OPEjU4CRlLDEIC7dNqknop0dVnABb0CH5R01xdZE6L8zh0So6CUQiHCcEEs6dqDSuTQgkqoSBYtAh0aFNULVTsQwbmCSVPpoLJ6QSmkdVx1tZQidyOjWrTUrvq71FqKITUAJcQ/IAT2gxucVC6aWhYXwJu8rRnDghkxBfjb6ycEIgob5U3Qk6KlvQIZEipSnfVgttwjZuAa94tMpOiCRcPfiyEZUld5KyEXuAr/jxce4EWIEOiRSezRl8Wy20DBv4WlLpo7lwQiCx3hsF4MS/RD1OUunR6c1qE8t9E8YGeiO3hoEV6JDo4AkqpalUKOa0eZj0p+3RHDqpW0L8nEdfWV9O1HOuLyd1S/CNOpwAW3BTg394inPEc4FhGH8iWemjuXJSq4R0L0PclfXoRHzAXbPaxGpfKZ0I3h1QDDokOrQJqg6pvITFIRGOEwIJOAm8sqAE6JA8kzeGklLcJIyPassdzaGTmiQYGzI9InMSiEStTvKeAh54m9jsq//mgEMn6KhswTUkUtThlbR+XTksTZIkSdJhYfqjOXXiWCK7l0Es9OUkKImanaSMadLJhxPHEllvROAEWIEZEgAAgCDADIkUdRafjarUwgphqbq0ZXg0106c7St+8civk9Ak6neiSSdPTpxJiLd61+oEkyRb0CHRkZegzi8qiC8ZHq0mJ273DcGJpWHtRb0ar1vkOalVIhwnBBIVMxYUgyU7/6gprlvytgiT7m4wPFodTpxIiF/S9OvEVoIxlgpkXZFDCZrKMuWh8oE3e/G+eT9F6NyJNgwUgw6JDm2CqgMrL2FxSITjJG/fcJyMVLN7qSwoAZbsPMATenDgtlEovVQizGRUazi6rLKvI4n1j3vFNiFodmIJQifD00lbGGSODUyPam12dFS2oEMiRUpTvq0WughLbY9Wm5NK+2Y3sofgpESYVNigZhfD2ODjVgNvdgIJcyfACnRIpAifcMaEsZVa6CUsDolwnMRUWenVkNsknGZHn2QLOiQ6eIJKaSoVijlNFha2RMp/Xtq3EzsJxpi40tXQd1b9LcTAmz2cDxSwBTc1+Ec4Za0jDrXIwuKQCMfJeuzgXXbanyUNvLIOj1bRSSASVcJAMeiQ6NAmqPqB9xIWvITmMX3xVjYoJ+tz0wCcBCFh7gSUAB2SZ/LGUFKKE4TFIRGOk5GqbDhOgqosOipbcA2JFHV4laWsWuglLGyJVBqtR13ZQJzon0Dqw0lYEuZOgBWYIYEGkTKGVXky5MU6AOoGMyRS1Fl8NqpSC72EhS8hBkdfWb9O1Ab35SRAiXJhYCiYIdGRl6D0q9tqWFMk1Mf0+XLiXaJWJ9mt3iE4CU3CygmwBR2Sf9QUVxepCcLikAjHCYEEnIRcWW0YKAYdEh3aBFUHVl7CGiSR99Pa9E78StTnhH8T1ruTACXMnYAS4BqSZ7ysJxiOK4OVUO+48+XEr0QdTvKey0DvJFgJcyfoqGxBh0SKOrzKUlYt9BIWh0Q4Tggk6nAiljexTQgkzJ0AK7BkBxqK5tkNoCIF804ACMAMiRR1Fp+dVNVCL2GNk9AWxlpZOAlHolwYGApmSHTkJSj96rYa1kyJlA1+TzbqyhI4ka8eNa5NCCSsnABb0CH5R01xdZGaIKyJEioRVxZOApFwm7FABB0SHdoEVQdWXsIaKyF/TzbqytboRL25zpeTwCXMnYAS4BqSB3hCi8ktFkov0YQ1VEK8BTz6ytbmZOC5DI1uk6CaHR2VLeiQSJHSlG+rhV7CGirB2MAucVe2DidJEoqTpkiYOwFWoEMihWdzBt9WC72ENVZifZIUgBNqCRdONprOt5PGSJiHASvQIdHBE1RKU6lQzGmysKZLqOcIX07IJFw5Ec+bTW8TAgkrJ8AW3NTgH57iHPHcShbWaAnxAXfRV9ahE+lehgjahECiShgoBh0SHdoEVYdUXsLikAjHCYEEnAReWVACdEieyRtDSSlOENZ0ibyngEdZWSdOGBsyPSJz0iwJcyfoqGzBNSRS1OFVlrJqoZew5kukjCVJkg4Li6OylZxk9zKIhdG0CYGEuRNgBWZIAAAAggAzJFLUWXw2qlILvYRFIZFqV6IirWxJJ/wuee9OGipRLgwMBTMkOvISlH51Ww2LQyIcJwQSVZzk0fQ2IZCwcgJscT9Dunz58tmzZ994443x8fE/+IM/uOOOO8SXTp8+3el0ZmdnZ2dnh5aX26VxqB1VqvtWXd1hcUikKcu+JytNkuKtrLUT6UvEHp00VKJKGCjG/Qzps5/97BtvvPEbv/EbrVbrj/7oj55++umsvN1uHzx4cPv27Xv27Dl27NipU6eKy8vtEjIpbvumqiy/486XEwKJck6yrjoEJw2VMHcCypC65tq1a3z7n//5nz/xiU9k24cOHTp+/Hi2fe7cudtvv73X6xWUl9tFZGpqynntKpK1N2Pr//i2WuglLA6Jfgnz7iTId5YF46TBEuZhoRHgWVHE/QxpcnKSb2/btq3X62XbFy5c2LdvX7a9f//+lZWVixcvFpSX2yVw0v4sPvvHt9VCL2FxSPRL0mx1ajQqa+Qku90jBCdNlzAMA7bUeJddt9v9xje+8Yd/+IeMsU6n0+v1du7cmb20adOm8fHxpaWlvPJyu6hMT09nG+12u7aKWsCzOYNvq4VewuKQCMdJgJUVt2Ntk3CaPZA+iZ8Gw6dqh7S2tra6upptt1ot8aW//Mu//OVf/uX77ruPMZamKWNs27Zt/NVWq7W6uppXXm4XlUD6oQyeoFKaSoViTpOFxSGhhKXi/c2xV3aIE/FGD+QYjZNAEE+DgXdOVZfsnn/++Zk+3W6Xlz/00ENvv/32V7/61c2bN7N+X3Xp0iUesLy8PDY2lldebpeGwlOcIw61yMLikAjHCYEEnIRcWW0YKKbqDGlubm5ubk4q/Ku/+qvXX3/9G9/4xvj4eFbSarV27NixuLiY/Xn16tVOp7N79+688nK7BI52Fq9mrTaP6w6LQ0JXsvF7spROCCQsnQzcBx9rAhBImDsBJXB/U8Mjjzzy4x//+Otf//rY2Fi32+XTpgMHDpw8eXJlZYUxduLEiZmZmV27dhWUl9ulceTlsdRvEYTFIaGGMZYyJofGWtkcJ5ou2ZOTGCTMnYS5ghcy7m9q+M53vsMY+83f/M3sz1artbCwwBg7fPhwu93eu3fvxMTE5OTk/Px8FpBXXm6XwNEOuJiS0L7C4pDQloxOZdWwvMhY24RAwtwJsGJgIh8Z09PTQd3UkBH45ycCiZywgVlC7JUVy9Y/4wE4iUeiuR1SmGdFDh6uSoo6i8+SWC30EhaHRN5yilged2WlmgbiJCaJcmFgKHi4Kh15CZp3AqUMi0OiICwVHiZE4IRAwiSM38vg3Uk0ElZOgC3okPyjpri6JkAQFodEOE4IJOAk5Mpqw0Ax6JDo0CaoOrDyEhaHRHFYWvjE1cgqy/KnR/ROYpIwdwJKgA7JM17WEwzHlU2UKA7jfVL0ldU+l8GLk/gkzJ2go7IFNzWQog6vspRVC72ExSExNIyfKeKuLH/Ju5P4JMydACswQwKjRsqU78lGR8J034QFIHAwQyJFncVnoyq10EtYHBJDwxKqO6EJJPLWjqT6+nISq0S5MDAUzJDoyEtQ+tVtNSwOCcOw7KeSYq0s033bPYRmj0PCygmwBR2Sf9QUVxepCcLikDB2In8tqQYJL5XVL9YF0+wxSFQJA8WgQ6JDm6DqwMpLWBwS4TghkDA/36HZvVQWlADXkDwgLvTzbWn1X3yJJiwOCRsnA79MEUFlxelRwM3eeAlzJ+iobMEMSUN9P6rI0zT7x7fVwuphU1PTtkeryQlxLcydZO8IQWXrq4VYwqtTh4RYBcoEcCvhqhaGYTUR+K++VgEzJFJ4NmfwbbXQRVhb/PCYHK02J6S1sHGyMUmqubJ11UIoSdI0rfOdbYu7ECaAWwk3tTAPA1ZghkQHT1A+jMpIlaE6L68SxgeDJker1QlZLUo44eW1VraOWkhhnJre2awKDtvES45Vr4WVE2BL5DOk0nPbeibFbd2CnjY8AAAHDklEQVRh20nCpqbE8vbU1HSStKXCEmHT09PGR6vXCVUtrJ1MTU2Jt9sJm7kl5cK4Sk0SU1NTWUPV9872s5c6AdxKVK6FqZOpKaaEOSPWVbuYf6AvQLSzeLWQrwBQhsUhEY4TAgk4aVxlQTFYsvOMdtjLdOled1gcEuE4GanKhuMkqMqiN7IFHRIp4ho066esttBLWBwS4TgZqcqG4yScygJbsGTnAZ64YturhV7C4pAIxwmBBJwEXllgDjokAAAAQYAlOwAAAEGADgkAAEAQoEMCAAAQBJF/MdaEtbW1V1999a233lpdXT148KA25uWXX37zzTf5n3feeedNN91EY68cJpUKkMuXL58+fbrT6czOzs7OzqoBjXsjhtYoQOJ7F1gDPxFRnpeGgg6JPfroo2fOnPnYxz526dKlvDf+mWee+a//+q+ZmZnsz5tvvjnwN96kUqHRbrc/85nP3HvvvR/+8IePHTu2uLj4J3/yJ1JMs94IkxqFRnzvQkbjPhFRnpeGk448169fT9P03Llzt9xyS17M0aNHjx49SmiqKiaVCo1Dhw4dP3482z537tztt9/e6/WkmGa9ESY1Co343oWMxn0iojwvDQXXkFir1TIJW1lZOX/+/GuvvVa3HycYViooLly4sG/fvmx7//79KysrFy9eVMMa9EYY1igo4nsXMhr3iYjyvDQULNmZcvbs2StXriwsLGzfvn1+fn7Xrl2+HUVFp9Pp9Xo7d+7M/ty0adP4+PjS0pIa2ZQ3wrxG4RDfuxA9kb0RIzdDWltb6/Yx3+vIkSM/+tGPnnrqqVdeeWVqaur++++vz2E5ytXLI5LhNE0ZY9u2beMBrVZrdXVV2iv8N4JjWKOgiO9diJv43oiR65Cef/75mT7m5+6tW7dmG61W67777nv99dc7nU5tHstQrl4ekQxnCxSXLl3iAcvLy2NjY9Je4b8RHMMaBUV870LcxPdGjNyS3dzc3NzcXJUjXL9+nTF2ww1hNV31ehGjGt6xY8fi4mK2ffXq1U6ns3v37oIjhPlGcFqtlm2NvFPCc+DvwugQxxsxcjMklWztqNfrMcbEJa9vf/vbp06dyrb5dd133nnniSeeuO222wK/RppXqZA5cODAyZMnV1ZWGGMnTpyYmZnJFsSb+0bk1Shk4nsXMhr3iYjyvDSUZnenTjhz5syDDz6Ybd96662MsYWFhVar9corr/z85z/PvoTx8MMPX7t2bWxs7L333rvjjjuefPJJn44NyKuUV1NDOHz4cLvd3rt378TExOTk5Pz8fFbe3Dcir0YhE9+7kNG4T0SU56Wh4GnfpnS73YWFhVtvvTXkJI6ApaWla9euffSjH80LaNwbMbRGARLfuxArkb0R6JAAAAAEAa4hAQAACAJ0SAAAAIIAHRIAAIAgQIcEAAAgCNAhAQAACAJ0SAAAAIIAHRIAAMTMqVOnpqenw//pE4YOCQAAIuanP/3pCy+8ID7BPWTQIQEAQLT8zd/8zd/93d/5dmEKOiQAAIiTb33rWx//+MfDf6QvBw9XBQCABrC2tvbqq6++9dZbq6urBw8eFF+6fPny6dOnO53O7Ozs7OxsVnjlypWnn3763/7t33yYLQk6JAAAaACPPvromTNnPvaxj126dEnskNrt9mc+85l77733wx/+8LFjxxYXF7Nngf/Hf/zHysrKvffeyxi7du3al770pfe973133nmntwoYgIerAgBAA8h+WPnFF1/83Oc+t7CwwMvvvvvum2+++a//+q8ZYy+++OKRI0deeeWVzZs3r66uZr9rxRj73d/93WPHjv3Wb/3W5s2b/bg3A9eQAADAP2tra5cvXxZLrly58u677/I/835g4sKFC/v27cu29+/fv7Kykt3hvXnz5vE+jLH3v//9gfdGDB0SAACEwKZNm5577rkf/ehH2Z9Xrlz55je/OTExUbxXp9Pp9Xo7d+7kBxkfH19aWpLCzp8///GPf9y5Z+fgGhIAAATBkSNHvvzlLzPGtm7d+s1vfjNbhSsmu+Yifs2o1Wqtrq7WZ7JWMEMCAIBQOHLkyJkzZ7761a+a9Easv4536dIlXrK8vDw2NlaXv5pBhwQAAKHwxhtvrK6u7ty5k6/dFdNqtXbs2LG4uJj9efXq1U6ns3v37jo91gg6JAAACII33njjW9/61iOPPHLo0KGLFy9KfdLa2lq32+31eoyxbrfb7Xaz8gMHDpw8eTK7oe7EiRMzMzMN+iasBG77BgAA/6ytrX3xi1986KGHeMlXvvKVu+66a3JyMvvz2WefffDBB8VdFhYWWq1Wt9t94IEHzp8/PzExMTk5OT8//9GPfpTUujvQIQEAQONZWlq6du1ac7uiDHRIAAAAggDXkAAAAAQBOiQAAABBgA4JAABAEKBDAgAAEAT/D6QTHW4RecdXAAAAAElFTkSuQmCC",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clear all;clc;close all;                                   % Limpa variáveis, limpa tela e fecha todas as figuras\n",
    "\n",
    "% Entrada de parâmetros\n",
    "dR = 5e3; % Raio do Hexágono\n",
    "% Cálculos de outras variáveis que dependem dos parâmetros de entrada\n",
    "dPasso = ceil(dR/10);                                      % Resolução do grid: distância entre pontos de medição\n",
    "dIntersiteDistance = 2*sqrt(3/4)*dR;                       % Distância entre ERBs (somente para informação)\n",
    "dDimX = 5*dR;                                              % Dimensão X do grid\n",
    "dDimY = 6*sqrt(3/4)*dR;                                    % Dimensão Y do grid\n",
    "% Vetor com posições das BSs (grid Hexagonal com 7 células, uma célula central e uma camada de células ao redor)\n",
    "vtBs = [ 0 ];\n",
    "dOffset = pi/6;\n",
    "for iBs = 2 : 7\n",
    "    vtBs = [ vtBs dR*sqrt(3)*exp( j * ( (iBs-2)*pi/3 + dOffset ) ) ];\n",
    "end\n",
    "vtBs = vtBs + (dDimX/2 + j*dDimY/2);                        % Ajuste de posição das bases (posição relativa ao canto inferior esquerdo)\n",
    "%\n",
    "% Matriz de referência com posição de cada ponto do grid (posição relativa ao canto inferior esquerdo)\n",
    "dDimY = dDimY+mod(dDimY,dPasso);                           % Ajuste de dimensão para medir toda a dimensão do grid\n",
    "dDimX = dDimX+mod(dDimX,dPasso);                           % Ajuste de dimensão para medir toda a dimensão do grid\n",
    "[mtPosx,mtPosy] = meshgrid(0:dPasso:dDimX, 0:dPasso:dDimY);\n",
    "%\n",
    "% Calcular os pontos de medição relativos de cada ERB\n",
    "for iBsD = 1 : length(vtBs)                                 % Loop nas 7 ERBs\n",
    "    % Matriz 3D com os pontos de medição de cada ERB. Os pontos são\n",
    "    % modelados como números complexos X +jY, sendo X a posição na abcissa e Y, a posição no eixo das ordenadas\n",
    "    mtPosEachBS(:,:,iBsD)=(mtPosx + j*mtPosy)-(vtBs(iBsD));\n",
    "    % Plot da posição relativa dos pontos de medição de cada ERB individualmente\n",
    "    figure;\n",
    "    plot(mtPosEachBS(:,:,iBsD),'bo');\n",
    "    hold on;\n",
    "    fDrawDeploy(dR,vtBs-vtBs(iBsD))\n",
    "    axis equal;\n",
    "    title(['ERB ' num2str(iBsD)]);\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**A execução do código resulta em:**\n",
    "1. Sete gráficos mostrando o grid celular e os pontos de medição **relativos** a cada ERB. \n",
    "2. A ERB está identificada no título de cada gráfico;\n",
    "3. Note que o ponto (0,0) de cada ERB (de cada gráfico), i.e. seu posicionamento, é diferente. Na ERB 1, o ponto (0,0) está no centro (posição da ERB 1) e, na ERB 6, o ponto (0,0) está no centro do hexágono inferior, posição central da ERB. \n",
    "\n",
    "**Analise o código com cuidado. Tente compreender a modelagem e a sintaxe usada. Discuta com os colegas. Faça um debug usando a IDE do Matlab.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prática 03: Cálculo e plot da potência recebida \n",
    "\n",
    "Vamos escrever um código para o cálculo da potência recebida nos pontos de medição do REM de cada ERB, e também considerando a composição das 7 ERBs. Como especificado no hands-on, precisamos considerar que a potência recebida de cada ponto de medição é a maior potência recebida em relação as 7 ERBs.\n",
    "\n",
    "**Passo 01:** Inspecione e insira o código a seguir no editor do Matlab (salve com o nome **handson1_p31.m**). Nesse código, vamos:\n",
    "\n",
    "- Criar sete matrizes de distâncias relativas de cada ponto de medição e para cada ERB (matrizes **mtDistEachBs**). Aplicaremos o raio de segurança a essas distâncias;\n",
    "- Com as distâncias, usaremos o modelo de Okumura-Hata para calcular a perda de percurso (matrizes **mtPldB**);\n",
    "- Com a EIRP e a perda de percurso, calcularemos a potência recebida de cada ERB em cada ponto de medição. Para cada ERB montaremos a matriz **mtPowerEachBSdBm**;\n",
    "- Montaremos uma única matriz **mtPowerFinaldBm** com a maior potência recebida em cada ponto de medição;\n",
    "- Plotaremos o REM de cada ERB e da composição das 7 ERBs.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "% Entrada de parâmetros\n",
    "dR = 5e3;  % Raio do Hexágono\n",
    "dFc = 800; % Frequência da portadora MHz\n",
    "% Cálculos de outras variáveis que dependem dos parâmetros de entrada\n",
    "dPasso = ceil(dR/10);                                      % Resolução do grid: distância entre pontos de medição\n",
    "dRMin = dPasso;                                            % Raio de segurança\n",
    "dIntersiteDistance = 2*sqrt(3/4)*dR;                       % Distância entre ERBs (somente para informação)\n",
    "dDimX = 5*dR;                                              % Dimensão X do grid\n",
    "dDimY = 6*sqrt(3/4)*dR;                                    % Dimensão Y do grid\n",
    "dPtdBm = 57;                                               % EIRP (incluindo ganho e perdas) (https://pt.slideshare.net/naveenjakhar12/gsm-link-budget)\n",
    "dPtLinear = 10^(dPtdBm/10)*1e-3;                           % EIRP em escala linear\n",
    "dHMob = 5;                                                 % Altura do receptor\n",
    "dHBs = 30;                                                 % Altura do transmissor\n",
    "dAhm = 3.2*(log10(11.75*dHMob)).^2 - 4.97;                 % Modelo Okumura-Hata: Cidade grande e fc  >= 400MHz\n",
    "%\n",
    "% Vetor com posições das BSs (grid Hexagonal com 7 células, uma célula central e uma camada de células ao redor)\n",
    "vtBs = [ 0 ];\n",
    "dOffset = pi/6;\n",
    "for iBs = 2 : 7\n",
    "    vtBs = [ vtBs dR*sqrt(3)*exp( j * ( (iBs-2)*pi/3 + dOffset ) ) ];\n",
    "end\n",
    "vtBs = vtBs + (dDimX/2 + j*dDimY/2);                        % Ajuste de posição das bases (posição relativa ao canto inferior esquerdo)\n",
    "%\n",
    "% Matriz de referência com posição de cada ponto do grid (posição relativa ao canto inferior esquerdo)\n",
    "dDimY = dDimY+mod(dDimY,dPasso);                           % Ajuste de dimensão para medir toda a dimensão do grid\n",
    "dDimX = dDimX+mod(dDimX,dPasso);                           % Ajuste de dimensão para medir toda a dimensão do grid\n",
    "[mtPosx,mtPosy] = meshgrid(0:dPasso:dDimX, 0:dPasso:dDimY);\n",
    "%\n",
    "% Iniciação da Matriz de  pontência recebida máxima em cada ponto\n",
    "% medido. Essa potência é a maior entre as 7 ERBs.\n",
    "mtPowerFinaldBm = -inf*ones(size(mtPosy));\n",
    "% Calcular O REM de cada ERB e aculumar a maior potência em cada ponto de medição\n",
    "for iBsD = 1 : length(vtBs)                                 % Loop nas 7 ERBs\n",
    "    % Matriz 3D com os pontos de medição de cada ERB. Os pontos são\n",
    "    % modelados como números complexos X +jY, sendo X a posição na abcissa e Y, a posição no eixo das ordenadas\n",
    "    mtPosEachBS(:,:,iBsD)=(mtPosx + j*mtPosy)-(vtBs(iBsD));\n",
    "    mtDistEachBs = abs(mtPosEachBS(:,:,iBsD));              % Distância entre cada ponto de medição e a sua ERB\n",
    "    mtDistEachBs(mtDistEachBs < dRMin) = dRMin;             % Implementação do raio de segurança\n",
    "    % Okumura-Hata (cidade urbana) - dB\n",
    "    mtPldB = 69.55 + 26.16*log10(dFc) + (44.9 - 6.55*log10(dHBs))*log10(mtDistEachBs/1e3) - 13.82*log10(dHBs) - dAhm;\n",
    "    mtPowerEachBSdBm(:,:,iBsD) = dPtdBm - mtPldB;           % Potências recebidas em cada ponto de medição\n",
    "    % Plot da REM de cada ERB individualmente\n",
    "    figure;\n",
    "    pcolor(mtPosx,mtPosy,mtPowerEachBSdBm(:,:,iBsD));\n",
    "    colorbar;\n",
    "    % Desenha setores hexagonais\n",
    "    fDrawDeploy(dR,vtBs)\n",
    "    axis equal;\n",
    "    title(['ERB ' num2str(iBsD)]);\n",
    "    % Cálulo da maior potência em cada ponto de medição\n",
    "    mtPowerFinaldBm = max(mtPowerFinaldBm,mtPowerEachBSdBm(:,:,iBsD));\n",
    "end\n",
    "% Plot da REM de todo o grid (composição das 7 ERBs)\n",
    "figure;\n",
    "pcolor(mtPosx,mtPosy,mtPowerFinaldBm);\n",
    "colorbar;\n",
    "fDrawDeploy(dR,vtBs);\n",
    "axis equal;\n",
    "title(['Todas as 7 ERB']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prática 04: Cálculo da Outage \n",
    "\n",
    "Vamos escrever um código para a taxa de outage de potência, i.e., a porcentagem de pontos que estão com potência abaixo da sensibilidade do receptor. \n",
    "\n",
    "**Passo 01:** Inspecione, insira o código a seguir no editor do Matlab (salve com o nome **handson1_p41.m**). Nesse código, vamos:\n",
    "\n",
    "- Exluir todos os plots;\n",
    "- Definir a sensibilidade do receptor (dSensitivity = -104);\n",
    "- Aumentar a resolução do grid, i.e., o número de pontos de medição (dPasso = dR/50);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Frequência da portadora = 800\n",
      "Taxa de outage = 7.5193 %\n",
      "Frequência da portadora = 900\n",
      "Taxa de outage = 10.8043 %\n",
      "Frequência da portadora = 1800\n",
      "Taxa de outage = 46.7555 %\n",
      "Frequência da portadora = 1900\n",
      "Taxa de outage = 50.8006 %\n",
      "Frequência da portadora = 2100\n",
      "Taxa de outage = 57.6315 %\n"
     ]
    }
   ],
   "source": [
    "vtFc = [800 900 1800 1900 2100];\n",
    "for iFc = 1:length(vtFc)\n",
    "    dFc = vtFc(iFc);\n",
    "    % Entrada de parâmetros\n",
    "    dR = 10e3; % Raio do Hexágono\n",
    "    % Cálculos de outras variáveis que dependem dos parâmetros de entrada\n",
    "    dPasso = ceil(dR/50);                                     % Resolução do grid: distância entre pontos de medição\n",
    "    dRMin = dPasso;                                            % Raio de segurança\n",
    "    dIntersiteDistance = 2*sqrt(3/4)*dR;                       % Distância entre ERBs (somente para informação)\n",
    "    dDimX = 5*dR;                                              % Dimensão X do grid\n",
    "    dDimY = 6*sqrt(3/4)*dR;                                    % Dimensão Y do grid\n",
    "    dPtdBm = 57;                                               % EIRP (incluindo ganho e perdas) (https://pt.slideshare.net/naveenjakhar12/gsm-link-budget)\n",
    "    dPtLinear = 10^(dPtdBm/10)*1e-3;                           % EIRP em escala linear\n",
    "    dSensitivity = -104;                                       % Sensibilidade do receptor (http://www.comlab.hut.fi/opetus/260/1v153.pdf)\n",
    "    dHMob = 5;                                                 % Altura do receptor\n",
    "    dHBs = 30;                                                 % Altura do transmissor\n",
    "    dAhm = 3.2*(log10(11.75*dHMob)).^2 - 4.97;                 % Modelo Okumura-Hata: Cidade grande e fc  >= 400MHz\n",
    "    %\n",
    "    % Vetor com posições das BSs (grid Hexagonal com 7 células, uma célula central e uma camada de células ao redor)\n",
    "    vtBs = [ 0 ];\n",
    "    dOffset = pi/6;\n",
    "    for iBs = 2 : 7\n",
    "        vtBs = [ vtBs dR*sqrt(3)*exp( j * ( (iBs-2)*pi/3 + dOffset ) ) ];\n",
    "    end\n",
    "    vtBs = vtBs + (dDimX/2 + j*dDimY/2);                        % Ajuste de posição das bases (posição relativa ao canto inferior esquerdo)\n",
    "    %\n",
    "    % Matriz de referência com posição de cada ponto do grid (posição relativa ao canto inferior esquerdo)\n",
    "    dDimY = ceil(dDimY+mod(dDimY,dPasso));                     % Ajuste de dimensão para medir toda a dimensão do grid\n",
    "    dDimX = ceil(dDimX+mod(dDimX,dPasso));                     % Ajuste de dimensão para medir toda a dimensão do grid\n",
    "    [mtPosx,mtPosy] = meshgrid(0:dPasso:dDimX, 0:dPasso:dDimY);\n",
    "    %\n",
    "    % Iniciação da Matriz de com a pontência de recebida máxima em cada ponto\n",
    "    % medido. Essa potência é a maior entre as 7 ERBs.\n",
    "    mtPowerFinaldBm = -inf*ones(size(mtPosy));\n",
    "    % Calcular O REM de cada ERB e aculumar a maior potência em cada ponto de medição\n",
    "    for iBsD = 1 : length(vtBs)                                 % Loop nas 7 ERBs\n",
    "        % Matriz 3D com os pontos de medição de cada ERB. Os pontos são\n",
    "        % modelados como números complexos X +jY, sendo X a posição na abcissa e Y, a posição no eixo das ordenadas\n",
    "        mtPosEachBS =(mtPosx + j*mtPosy)-(vtBs(iBsD));\n",
    "        mtDistEachBs = abs(mtPosEachBS);              % Distância entre cada ponto de medição e a sua ERB\n",
    "        mtDistEachBs(mtDistEachBs < dRMin) = dRMin;             % Implementação do raio de segurança\n",
    "        % Okumura-Hata (cidade urbana) - dB\n",
    "        mtPldB = 69.55 + 26.16*log10(dFc) + (44.9 - 6.55*log10(dHBs))*log10(mtDistEachBs/1e3) - 13.82*log10(dHBs) - dAhm;\n",
    "        mtPowerEachBSdBm = dPtdBm - mtPldB;           % Potências recebidas em cada ponto de medição\n",
    "        % Cálulo da maior potência em cada ponto de medição\n",
    "        mtPowerFinaldBm = max(mtPowerFinaldBm,mtPowerEachBSdBm);\n",
    "    end\n",
    "    %\n",
    "    % Outage (limite 10%)\n",
    "    dOutRate = 100*length(find(mtPowerFinaldBm < dSensitivity))/numel(mtPowerFinaldBm);\n",
    "    disp(['Frequência da portadora = ' num2str(dFc)]);\n",
    "    disp(['Taxa de outage = ' num2str(dOutRate) ' %']);\n",
    "end"
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    "##  Entrega 00: Entregar todos os códigos desse hands-on em Pyhton\n",
    "\n",
    "- Pode (deve) utilizar IA para auxiliar na tradução do código.\n",
    "\n",
    "##  Entrega 01: Definição de raio celular para uma Outage planejada\n",
    "\n",
    "Escreva um código para determinar o raio celular aproximado para cada frequência da portadora do exemplo acima, considerando uma Outage de potência máxima de 10%. Faça isso considerando os seguintes requisitos:\n",
    "- Contabilize para Outage somente a área delimitada pelos hexágonos;\n",
    "- Utilize alguma estratégia de busca baseada em gradiente para achar o raio, sem a necessidade de busca em força bruta.\n",
    "\n",
    "\n",
    "##  Entrega 02: Ajuste do modelo de propagação\n",
    "Faça a avaliação acima considerando o modelo COST Hata model (COST 231), que é mais fiel para frequências acima de 900 MHz. Diserte sobre os resultados, comparando qualitativamente com o que foi encontrado na **Entrega 01**."
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